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Finding the Third Proportional to 8,381 and 22,801

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Solution

The third proportional to 8,381 and 22,801 is: 62,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 22,801 = 22,801 : x
  2. Step 2: Convert to fraction form
    8,381/22,801 = 22,801/x
  3. Step 3: Cross multiply
    8,381x = 22,801 × 22,801
  4. Step 4: Simplify right side
    8,381x = 519,885,601
  5. Step 5: Solve for x
    x = 519,885,601/8,381
  6. Step 6: Final answer
    x = 62,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.