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Finding the Third Proportional to 5,972.06 and 9,082.97

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Solution

The third proportional to 5,972.06 and 9,082.97 is: 13,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 9,082.97 = 9,082.97 : x
  2. Step 2: Convert to fraction form
    5,972.06/9,082.97 = 9,082.97/x
  3. Step 3: Cross multiply
    5,972.06x = 9,082.97 × 9,082.97
  4. Step 4: Simplify right side
    5,972.06x = 82,500,321.31
  5. Step 5: Solve for x
    x = 82,500,321.31/5,972.06
  6. Step 6: Final answer
    x = 13,814.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.