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Finding the Third Proportional to 32,092 and 47,872

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Solution

The third proportional to 32,092 and 47,872 is: 71,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092 : 47,872 = 47,872 : x
  2. Step 2: Convert to fraction form
    32,092/47,872 = 47,872/x
  3. Step 3: Cross multiply
    32,092x = 47,872 × 47,872
  4. Step 4: Simplify right side
    32,092x = 2,291,728,384
  5. Step 5: Solve for x
    x = 2,291,728,384/32,092
  6. Step 6: Final answer
    x = 71,411.20

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