`(2707)/(sqrt(?))=27.07`

Options

A. 10
B. 100
C. 1000
D. 10000

Answer

To solve the equation \(\frac{2707}{\sqrt{?}} = 27.07\), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{2707}{\sqrt{?}} = 27.07 \]

### Step 2: Cross-multiply
To eliminate the fraction, we can cross-multiply:
\[ 2707 = 27.07 \cdot \sqrt{?} \]

### Step 3: Isolate \(\sqrt{?}\)
Next, we want to isolate \(\sqrt{?}\). To do this, we divide both sides by 27.07:
\[ \sqrt{?} = \frac{2707}{27.07} \]

### Step 4: Calculate the right side
Now, we perform the division:
\[ \sqrt{?} = 100 \]

### Step 5: Square both sides
To find the value of \(?\), we square both sides:
\[ ? = (100)^2 \]

### Step 6: Calculate the final answer
Calculating the square gives us:
\[ ? = 10000 \]

Thus, the value of the question mark is:
\[ \boxed{10000} \]

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