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Original Solution



Solution 2 - by Sanni Keskimaki




Solution 3 - by Sarah Wright,
Travis Walpole and David (London)




Solution 4 - by Tyler Breisacher
and Sharon Howell




Solution 5 - by Rajesh.Ninganola




Solution 6 - by Jamie Casey
 
 
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Magic Proportions
(solution)

One of the possible solutions to this puzzle is shown on the left. 

As you may see the numbers in the first, second and third rows add up to three numbers - 6, 12 and 18 - what makes the proportion 1:2:3. Same is true for the first, second and third columns.

We got another solution from our visitor - see Solutions 2. Our visitor writes:

Hi,
Just wanted to let you know I discovered another solution to the Magic Proportions Puzzle (I'm sure there may be more).
Thanks,
Sanni Keskimaki, 
Math Teacher at The Evergreen School (Shoreline, WA)



The next solution (see Solution 3) was sent to us separately by three visitors - Sarah Wright, Travis Walpole and David (London). They write:

Hi,
I found another solution to the magic proportions puzzle.
Sarah Wright.

I have found another solution to the Magic Proportions puzzle.
Travis Walpole.

Hi, yet another solution to the Magic Proportions Puzzle.
David (London).



The Solution 4 was sent to us by two visitors - Tyler Breisacher and Sharon Howell - and, again separately. Sharon Howell writes:

Hi,
Here's another solution to the puzzle... This took about 3 minutes, but the other two solutions eluded me.
Sharon Howell.



The Solution 5 was sent to us by Rajesh.Ninganola:

Hi,
I found another solution to the magic proportions puzzle.
Rajesh.Ninganola



The Solution 6 was sent to us by Jamie Casey:

This is the only one I've spotted that hasn't been submitted already.
Jamie Casey


Thank you all for these solutions!

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Last Update
August 28, 2003

 
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