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Finding the Third Proportional to 3,907.13 and 8,593.88

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Solution

The third proportional to 3,907.13 and 8,593.88 is: 18,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.13 : 8,593.88 = 8,593.88 : x
  2. Step 2: Convert to fraction form
    3,907.13/8,593.88 = 8,593.88/x
  3. Step 3: Cross multiply
    3,907.13x = 8,593.88 × 8,593.88
  4. Step 4: Simplify right side
    3,907.13x = 73,854,687.52
  5. Step 5: Solve for x
    x = 73,854,687.52/3,907.13
  6. Step 6: Final answer
    x = 18,902.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.