Problem: Find the number which has the same ratio to 26 that 6 has to 13.

Solution:
To solve the problem, we need to use the concept of proportionality. We can set up a proportion and solve for the unknown number.

Let x be the unknown number. Then we can write:

6/13 = x/26

To solve for x, we can cross-multiply and simplify:

6 × 26 = 13 × x

156 = 13x

x = 156/13

x = 12

Therefore, the number which has the same ratio to 26 that 6 has to 13 is 12.

Explanation:
The problem asks us to find a number that has the same ratio to 26 as 6 has to 13. This means that the ratio of the unknown number to 26 is equal to the ratio of 6 to 13. We can express this as a proportion:

x/26 = 6/13

To solve for x, we can cross-multiply and simplify:

x × 13 = 6 × 26

13x = 156

x = 156/13

x = 12

Therefore, the unknown number is 12. We can check our answer by verifying that the ratio of 12 to 26 is equal to the ratio of 6 to 13:

12/26 = 6/13

0.4615 = 0.4615

The ratios are equal, so our answer is correct.