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Finding the Third Proportional to 3,909.38 and 8,560.13

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Solution

The third proportional to 3,909.38 and 8,560.13 is: 18,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.38 : 8,560.13 = 8,560.13 : x
  2. Step 2: Convert to fraction form
    3,909.38/8,560.13 = 8,560.13/x
  3. Step 3: Cross multiply
    3,909.38x = 8,560.13 × 8,560.13
  4. Step 4: Simplify right side
    3,909.38x = 73,275,740.02
  5. Step 5: Solve for x
    x = 73,275,740.02/3,909.38
  6. Step 6: Final answer
    x = 18,743.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.