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Finding the Third Proportional to 5,114.97 and 7,691.47

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Solution

The third proportional to 5,114.97 and 7,691.47 is: 11,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.97 : 7,691.47 = 7,691.47 : x
  2. Step 2: Convert to fraction form
    5,114.97/7,691.47 = 7,691.47/x
  3. Step 3: Cross multiply
    5,114.97x = 7,691.47 × 7,691.47
  4. Step 4: Simplify right side
    5,114.97x = 59,158,691.53
  5. Step 5: Solve for x
    x = 59,158,691.53/5,114.97
  6. Step 6: Final answer
    x = 11,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.