Question

if 32,16,x are continued proportion than find the value of x​

Answer 1

Answer:32/16 = 2/1

again, 16/x= 2/1

i.e. x=16/2 = 8

cross check :

32/16 = 2

16/2 = 2

therefor the proportion becomes 32:16:8

Step-by-step explanation:

Answer 2

If 32 , 16 , x are in continued proportion then value of x = 8

Given :

32 , 16 , x are in continued proportion

To find :

The value x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that 32 , 16 , x are in continued proportion

So by the given condition

32 : 16 = 16 : x

Step 2 of 2 :

Find the value of x

32 : 16 = 16 : x

$\displaystyle \sf{ \implies \frac{32}{16} = \frac{16}{x} }$

$\displaystyle \sf{ \implies x = \frac{16 \times 16}{32} }$

$\displaystyle \sf{ \implies x = \frac{16}{2} }$

$\displaystyle \sf{ \implies x = 8 }$

Hence the required value of x = 8

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