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Finding the Third Proportional to 6,073.31 and 9,115.03

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Solution

The third proportional to 6,073.31 and 9,115.03 is: 13,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.31 : 9,115.03 = 9,115.03 : x
  2. Step 2: Convert to fraction form
    6,073.31/9,115.03 = 9,115.03/x
  3. Step 3: Cross multiply
    6,073.31x = 9,115.03 × 9,115.03
  4. Step 4: Simplify right side
    6,073.31x = 83,083,794.69
  5. Step 5: Solve for x
    x = 83,083,794.69/6,073.31
  6. Step 6: Final answer
    x = 13,680.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.