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Finding the Third Proportional to 39,474 and 58,751

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Solution

The third proportional to 39,474 and 58,751 is: 87,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 58,751 = 58,751 : x
  2. Step 2: Convert to fraction form
    39,474/58,751 = 58,751/x
  3. Step 3: Cross multiply
    39,474x = 58,751 × 58,751
  4. Step 4: Simplify right side
    39,474x = 3,451,680,001
  5. Step 5: Solve for x
    x = 3,451,680,001/39,474
  6. Step 6: Final answer
    x = 87,441.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.