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Finding the Third Proportional to 3,942.11 and 8,469.88

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Solution

The third proportional to 3,942.11 and 8,469.88 is: 18,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.11 : 8,469.88 = 8,469.88 : x
  2. Step 2: Convert to fraction form
    3,942.11/8,469.88 = 8,469.88/x
  3. Step 3: Cross multiply
    3,942.11x = 8,469.88 × 8,469.88
  4. Step 4: Simplify right side
    3,942.11x = 71,738,848.69
  5. Step 5: Solve for x
    x = 71,738,848.69/3,942.11
  6. Step 6: Final answer
    x = 18,198.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.