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Finding the Third Proportional to 25,251 and 39,613

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Solution

The third proportional to 25,251 and 39,613 is: 62,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251 : 39,613 = 39,613 : x
  2. Step 2: Convert to fraction form
    25,251/39,613 = 39,613/x
  3. Step 3: Cross multiply
    25,251x = 39,613 × 39,613
  4. Step 4: Simplify right side
    25,251x = 1,569,189,769
  5. Step 5: Solve for x
    x = 1,569,189,769/25,251
  6. Step 6: Final answer
    x = 62,143.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.