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Finding the Third Proportional to 3,372.05 and 5,105.11

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Solution

The third proportional to 3,372.05 and 5,105.11 is: 7,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,372.05 : 5,105.11 = 5,105.11 : x
  2. Step 2: Convert to fraction form
    3,372.05/5,105.11 = 5,105.11/x
  3. Step 3: Cross multiply
    3,372.05x = 5,105.11 × 5,105.11
  4. Step 4: Simplify right side
    3,372.05x = 26,062,141.73
  5. Step 5: Solve for x
    x = 26,062,141.73/3,372.05
  6. Step 6: Final answer
    x = 7,728.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.