To find the average ratio of two numbers a and b, we can calculate their geometric mean and divide it by their harmonic mean.

The geometric mean of two numbers a and b is the square root of their product, i.e.,

geometric mean = sqrt(a x b)

The harmonic mean of two numbers a and b is twice their product divided by their sum, i.e.,

harmonic mean = 2ab / (a + b)

In this case, the two numbers are 25 and 26. So, their geometric mean is:

sqrt(25 x 26) = sqrt(650)

Their harmonic mean is:

2 x 25 x 26 / (25 + 26) = 1300 / 51

Therefore, the average ratio of 25 and 26 can be calculated as:

(average ratio) = (geometric mean) / (harmonic mean) = (sqrt(650)) / (1300 / 51) = (sqrt(650) x 51) / 1300 = 2.002

Therefore, the average ratio of 25 and 26 is approximately 2.002.

other solution

To find the average ratio of two numbers, we add their ratios and divide the sum by 2.

In this case, the two numbers are 25 and 26. So, the two ratios are:

25:26 and 26:25

The sum of these two ratios is:

25:26 + 26:25 = (25/26 + 26/25) = (625 + 676) / (25 x 26) = 1301 / 650

Dividing this by 2, we get:

(average ratio) = (1301 / 650) / 2 = 2.002

Therefore, the average ratio of 25 and 26 is approximately 2.002.