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Finding the Third Proportional to 22,147 and 29,837

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Solution

The third proportional to 22,147 and 29,837 is: 40,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147 : 29,837 = 29,837 : x
  2. Step 2: Convert to fraction form
    22,147/29,837 = 29,837/x
  3. Step 3: Cross multiply
    22,147x = 29,837 × 29,837
  4. Step 4: Simplify right side
    22,147x = 890,246,569
  5. Step 5: Solve for x
    x = 890,246,569/22,147
  6. Step 6: Final answer
    x = 40,197.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.