Question

two middle terms of a proportion of 16 and 25 and one extreme is 5 find the extreme term​

Answer 1

SOLUTION

GIVEN

Two middle terms of a proportion of 16 and 25 and one extreme is 5

TO DETERMINE

The extreme term

EVALUATION

Here it is given that two middle terms of a proportion of 16 and 25 and one extreme is 5

Let x be the extreme term

So by the given condition

$\sf{x : 16 = 25 : 5}$

$\displaystyle \sf{ \implies \: \frac{x}{16} = \frac{25}{5} }$

$\displaystyle \sf{ \implies \: 5x = 25 \times 16 }$

$\displaystyle \sf{ \implies \: x = 5 \times 16 }$

$\displaystyle \sf{ \implies \: x = 80 }$

Hence the required number is 80

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