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Finding the Third Proportional to 8,102.53 and 9,469.41

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Solution

The third proportional to 8,102.53 and 9,469.41 is: 11,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.53 : 9,469.41 = 9,469.41 : x
  2. Step 2: Convert to fraction form
    8,102.53/9,469.41 = 9,469.41/x
  3. Step 3: Cross multiply
    8,102.53x = 9,469.41 × 9,469.41
  4. Step 4: Simplify right side
    8,102.53x = 89,669,654.73
  5. Step 5: Solve for x
    x = 89,669,654.73/8,102.53
  6. Step 6: Final answer
    x = 11,066.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.