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Finding the Third Proportional to 22,909 and 34,686

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Solution

The third proportional to 22,909 and 34,686 is: 52,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909 : 34,686 = 34,686 : x
  2. Step 2: Convert to fraction form
    22,909/34,686 = 34,686/x
  3. Step 3: Cross multiply
    22,909x = 34,686 × 34,686
  4. Step 4: Simplify right side
    22,909x = 1,203,118,596
  5. Step 5: Solve for x
    x = 1,203,118,596/22,909
  6. Step 6: Final answer
    x = 52,517.29

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Why These Related Problems?

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