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Finding the Third Proportional to 5,691.94 and 9,001.13

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Solution

The third proportional to 5,691.94 and 9,001.13 is: 14,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.94 : 9,001.13 = 9,001.13 : x
  2. Step 2: Convert to fraction form
    5,691.94/9,001.13 = 9,001.13/x
  3. Step 3: Cross multiply
    5,691.94x = 9,001.13 × 9,001.13
  4. Step 4: Simplify right side
    5,691.94x = 81,020,251.27
  5. Step 5: Solve for x
    x = 81,020,251.27/5,691.94
  6. Step 6: Final answer
    x = 14,234.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.