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Finding the Third Proportional to 3,997.69 and 9,252.56

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Solution

The third proportional to 3,997.69 and 9,252.56 is: 21,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.69 : 9,252.56 = 9,252.56 : x
  2. Step 2: Convert to fraction form
    3,997.69/9,252.56 = 9,252.56/x
  3. Step 3: Cross multiply
    3,997.69x = 9,252.56 × 9,252.56
  4. Step 4: Simplify right side
    3,997.69x = 85,609,912.82
  5. Step 5: Solve for x
    x = 85,609,912.82/3,997.69
  6. Step 6: Final answer
    x = 21,414.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.