If 25, 35 and p are in continued proportion, then the value of p is ________.
A) 60
B) 75
C) 49
D) 50

Options

A. 60
B. 75
C. 49
D. 50

Answer

To find the value of \( p \) such that \( 25, 35, \) and \( p \) are in continued proportion, we can use the property of continued proportion which states that if \( a, b, c \) are in continued proportion, then:

\[ \frac{a}{b} = \frac{b}{c} \]

In this case, we have:

- \( a = 25 \)
- \( b = 35 \)
- \( c = p \)

So we can set up the equation:

\[ \frac{25}{35} = \frac{35}{p} \]

Now, we can cross-multiply to solve for \( p \):

\[ 25 \cdot p = 35 \cdot 35 \]

Calculating the right side:

\[ 25p = 1225 \]

Next, we divide both sides by 25 to isolate \( p \):

\[ p = \frac{1225}{25} \]

Now, performing the division:

\[ p = 49 \]

Thus, the value of \( p \) is \( 49 \).

### Final Answer:
The value of \( p \) is \( 49 \).