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Finding the Third Proportional to 14,691.38 and 22,381.31

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Solution

The third proportional to 14,691.38 and 22,381.31 is: 34,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.38 : 22,381.31 = 22,381.31 : x
  2. Step 2: Convert to fraction form
    14,691.38/22,381.31 = 22,381.31/x
  3. Step 3: Cross multiply
    14,691.38x = 22,381.31 × 22,381.31
  4. Step 4: Simplify right side
    14,691.38x = 500,923,149.22
  5. Step 5: Solve for x
    x = 500,923,149.22/14,691.38
  6. Step 6: Final answer
    x = 34,096.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.