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Finding the Third Proportional to 48,002 and 71,811

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Solution

The third proportional to 48,002 and 71,811 is: 107,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,002 : 71,811 = 71,811 : x
  2. Step 2: Convert to fraction form
    48,002/71,811 = 71,811/x
  3. Step 3: Cross multiply
    48,002x = 71,811 × 71,811
  4. Step 4: Simplify right side
    48,002x = 5,156,819,721
  5. Step 5: Solve for x
    x = 5,156,819,721/48,002
  6. Step 6: Final answer
    x = 107,429.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.