Ratio of Two Numbers

When we talk about the ratio of two numbers, we are comparing their sizes in relation to each other. In other words, we are dividing one number by the other to get a relative measure of their magnitudes.

Given the problem, we are asked to find a number that has the same ratio to 26 as 6 has to 13. To solve this, we can use the concept of proportionality.

Proportionality

Two quantities are said to be proportional if they have the same ratio. For example, if we say that x is proportional to y, we mean that x/y is a constant value.

In our case, we can set up a proportion to find the unknown number that we are looking for. We know that the ratio of 6 to 13 is the same as the ratio of our unknown number to 26. Therefore, we can write:

6/13 = x/26

where x is the unknown number we are trying to find.

Solving for x

To solve for x, we can cross-multiply the fractions to get:

6 × 26 = 13 × x

156 = 13x

x = 156/13

x = 12

Therefore, the number we are looking for is 12, since it has the same ratio to 26 as 6 has to 13.

Conclusion

In summary, we can find a number that has the same ratio to 26 as 6 has to 13 by setting up a proportion and solving for the unknown value. Through this method, we were able to determine that the number we are looking for is 12.