Question

If 25 35 x are in continued proportion find the value of x please help me​

Answer 1

Question :--- If 25, 35, x are in continued proportion find the value of x ?

Concept used :---

→ if a, b and c are in continued-proportion, then

a,b,b,c are in proportion, that means a:b::b:c ...

⇒ Product of extremes = Product of means

⇒ a x c = b x b

⇒ a x c = b²

_____________________________

Solution :----

it is given that 25 , 35 and x are in continued proportion ,

Than ,

→ 25:35::35:x

→ 25 × x = (35)²

→ x = (35×35)/25

→ x = 49 .

Hence, value of x will be 49..

Answer 2

Answer:

$\small\underline{\underline{\textsf{\purple{The value of x =49}}}}$

$\rule{300}{2}$

Question:-

If 25 35 x are in continued Proportion find the value of x ?

$\huge\underline\textsf{Explanation:- }$

$<font color =red>$

• The numbers 25 , 35 and x are in continued proportion.

$<font color =blue>$

• Continued proportion is a proportion in which the consequent of each ratio is antecedent of the next.

$<font color =black>$

Therefore,

$\large\red\boxed{\frac{25}{35} = \frac{35}{x }}$

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

$\small\red{\boxed{\bold{X = 49}}}$

The value of x is 49.

✌ᴍᴀᴛʜsᴀʀʏᴀʙʜᴀᴛᴛA✌