Question

If 25, 35, x are in continued proportion, find the value of x??????????????/ Ans.Since 25, 35, x are in continued proportion, we have 25:35:: 35: x 25* x=35*35 x=(35*35) divided by 25=49

Answer 1

The value of X in the given combined proportion is 49.

Step-by-step explanation:

Given:

If 25, 35, x are in continued proportion

To find:  

Find the value of x

Solution:  

25, 35, x are in continued proportion,

Therefore,

25:35::35: x  

25 $\times$ x =35 $\times$ 35  

x= $\frac{(35 \times 35)}{25}$ = 49

The value of x is 49 .

Result:

The value of X in the given combined proportion is 49.

To know more:

Show that 25,35 and 49 are in continued proportion

https://brainly.in/question/2160374

Answer 2

Answer:

$\red { Value \: of \: x } \green {= 49}$

Step-by-step explanation:

Continued Proportion:

Three quantities are said to be in continued proportion; if the ratio between the first and the second is equal to the ratio between the second and the third.

If b is a continued Proportional between a and c then b² = ac.

$Here , a = 25 ,\: and \: c = x ,\: and \: b = 35$

$\implies b^{2} = ac$

$\implies 35^{2} = 25 \times x$

$\implies \frac{35 \times 35 }{25} = x$

$\implies x = 7 \times 7$

$\implies x = 49$

Therefore.,

$\red { Value \: of \: x } \green {= 49}$

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