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Finding the Third Proportional to 29,331 and 42,032

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Solution

The third proportional to 29,331 and 42,032 is: 60,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,331 : 42,032 = 42,032 : x
  2. Step 2: Convert to fraction form
    29,331/42,032 = 42,032/x
  3. Step 3: Cross multiply
    29,331x = 42,032 × 42,032
  4. Step 4: Simplify right side
    29,331x = 1,766,689,024
  5. Step 5: Solve for x
    x = 1,766,689,024/29,331
  6. Step 6: Final answer
    x = 60,232.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.