To find the fraction that bears the same ratio to 17 as 37 does to 59, we can set up a proportion. Let the unknown fraction we want to find be represented as x.
We write the proportion as follows:
x / 17 = 37 / 59
Next, we can solve for x by cross-multiplying:
x * 59 = 37 * 17
Calculating the right side, we have:
37 * 17 = 629
Now, our equation looks like:
x * 59 = 629
To find x, we divide both sides of the equation by 59:
x = 629 / 59
Now we perform the division:
Calculating 629 ÷ 59 gives us:
x = 10.67
Thus, the fraction that bears the same ratio to 17 as 37 does to 59 is approximately 10.67.
If you want to express this as a fraction, we can say:
629/59 where both numbers represent the same ratio.
In summary, the fraction we are looking for is 629/59.