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Finding the Third Proportional to 3,754.69 and 8,691.89

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Solution

The third proportional to 3,754.69 and 8,691.89 is: 20,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.69 : 8,691.89 = 8,691.89 : x
  2. Step 2: Convert to fraction form
    3,754.69/8,691.89 = 8,691.89/x
  3. Step 3: Cross multiply
    3,754.69x = 8,691.89 × 8,691.89
  4. Step 4: Simplify right side
    3,754.69x = 75,548,962.64
  5. Step 5: Solve for x
    x = 75,548,962.64/3,754.69
  6. Step 6: Final answer
    x = 20,121.24

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.