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Finding the Third Proportional to 20,884 and 31,542

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Solution

The third proportional to 20,884 and 31,542 is: 47,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884 : 31,542 = 31,542 : x
  2. Step 2: Convert to fraction form
    20,884/31,542 = 31,542/x
  3. Step 3: Cross multiply
    20,884x = 31,542 × 31,542
  4. Step 4: Simplify right side
    20,884x = 994,897,764
  5. Step 5: Solve for x
    x = 994,897,764/20,884
  6. Step 6: Final answer
    x = 47,639.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.