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Finding the Third Proportional to 22,292 and 34,801

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Solution

The third proportional to 22,292 and 34,801 is: 54,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292 : 34,801 = 34,801 : x
  2. Step 2: Convert to fraction form
    22,292/34,801 = 34,801/x
  3. Step 3: Cross multiply
    22,292x = 34,801 × 34,801
  4. Step 4: Simplify right side
    22,292x = 1,211,109,601
  5. Step 5: Solve for x
    x = 1,211,109,601/22,292
  6. Step 6: Final answer
    x = 54,329.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.