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Finding the Third Proportional to 15,167.31 and 22,963.13

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Solution

The third proportional to 15,167.31 and 22,963.13 is: 34,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.31 : 22,963.13 = 22,963.13 : x
  2. Step 2: Convert to fraction form
    15,167.31/22,963.13 = 22,963.13/x
  3. Step 3: Cross multiply
    15,167.31x = 22,963.13 × 22,963.13
  4. Step 4: Simplify right side
    15,167.31x = 527,305,109.77
  5. Step 5: Solve for x
    x = 527,305,109.77/15,167.31
  6. Step 6: Final answer
    x = 34,765.89

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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.