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Finding the Third Proportional to 3,747.38 and 7,737.75

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Solution

The third proportional to 3,747.38 and 7,737.75 is: 15,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.38 : 7,737.75 = 7,737.75 : x
  2. Step 2: Convert to fraction form
    3,747.38/7,737.75 = 7,737.75/x
  3. Step 3: Cross multiply
    3,747.38x = 7,737.75 × 7,737.75
  4. Step 4: Simplify right side
    3,747.38x = 59,872,775.06
  5. Step 5: Solve for x
    x = 59,872,775.06/3,747.38
  6. Step 6: Final answer
    x = 15,977.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.