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Finding the Third Proportional to 22,739 and 34,599

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Solution

The third proportional to 22,739 and 34,599 is: 52,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,739 : 34,599 = 34,599 : x
  2. Step 2: Convert to fraction form
    22,739/34,599 = 34,599/x
  3. Step 3: Cross multiply
    22,739x = 34,599 × 34,599
  4. Step 4: Simplify right side
    22,739x = 1,197,090,801
  5. Step 5: Solve for x
    x = 1,197,090,801/22,739
  6. Step 6: Final answer
    x = 52,644.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.