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Finding the Third Proportional to 22,909 and 33,747

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Solution

The third proportional to 22,909 and 33,747 is: 49,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909 : 33,747 = 33,747 : x
  2. Step 2: Convert to fraction form
    22,909/33,747 = 33,747/x
  3. Step 3: Cross multiply
    22,909x = 33,747 × 33,747
  4. Step 4: Simplify right side
    22,909x = 1,138,860,009
  5. Step 5: Solve for x
    x = 1,138,860,009/22,909
  6. Step 6: Final answer
    x = 49,712.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.