if 25, 35, x are in propotion find the value of x?

Options

A. `x=49`
B. `x=39`
C. `x=29`
D. `x=59`

Answer

To find the value of \( x \) when \( 25, 35, x \) are in proportion, we can set up the equation based on the property of proportions.

### Step-by-Step Solution:

1. **Understanding Proportion**:
When three numbers \( a, b, c \) are in proportion, it means that the ratio of the first two numbers is equal to the ratio of the last two numbers. In this case, we have:
\[ \frac{25}{35} = \frac{35}{x} \]

2. **Cross Multiplication**:
To solve the proportion, we can use cross multiplication:
\[ 25 \cdot x = 35 \cdot 35 \]

3. **Calculating \( 35 \cdot 35 \)**:
Calculate \( 35 \cdot 35 \):
\[ 35 \cdot 35 = 1225 \]
So, we have:
\[ 25x = 1225 \]

4. **Isolating \( x \)**:
To find \( x \), divide both sides of the equation by 25:
\[ x = \frac{1225}{25} \]

5. **Performing the Division**:
Now, perform the division:
\[ x = 49 \]

### Final Answer:
Thus, the value of \( x \) is \( 49 \).

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