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Finding the Third Proportional to 31,661 and 47,552

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Solution

The third proportional to 31,661 and 47,552 is: 71,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661 : 47,552 = 47,552 : x
  2. Step 2: Convert to fraction form
    31,661/47,552 = 47,552/x
  3. Step 3: Cross multiply
    31,661x = 47,552 × 47,552
  4. Step 4: Simplify right side
    31,661x = 2,261,192,704
  5. Step 5: Solve for x
    x = 2,261,192,704/31,661
  6. Step 6: Final answer
    x = 71,418.87

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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.