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Finding the Third Proportional to 3,997.73 and 6,270.96

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Solution

The third proportional to 3,997.73 and 6,270.96 is: 9,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.73 : 6,270.96 = 6,270.96 : x
  2. Step 2: Convert to fraction form
    3,997.73/6,270.96 = 6,270.96/x
  3. Step 3: Cross multiply
    3,997.73x = 6,270.96 × 6,270.96
  4. Step 4: Simplify right side
    3,997.73x = 39,324,951.08
  5. Step 5: Solve for x
    x = 39,324,951.08/3,997.73
  6. Step 6: Final answer
    x = 9,836.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.