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Finding the Third Proportional to 7,624.13 and 8,691.05

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Solution

The third proportional to 7,624.13 and 8,691.05 is: 9,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.13 : 8,691.05 = 8,691.05 : x
  2. Step 2: Convert to fraction form
    7,624.13/8,691.05 = 8,691.05/x
  3. Step 3: Cross multiply
    7,624.13x = 8,691.05 × 8,691.05
  4. Step 4: Simplify right side
    7,624.13x = 75,534,295.78
  5. Step 5: Solve for x
    x = 75,534,295.78/7,624.13
  6. Step 6: Final answer
    x = 9,907.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.