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Finding the Third Proportional to 3,247.31 and 7,013.53

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Solution

The third proportional to 3,247.31 and 7,013.53 is: 15,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.31 : 7,013.53 = 7,013.53 : x
  2. Step 2: Convert to fraction form
    3,247.31/7,013.53 = 7,013.53/x
  3. Step 3: Cross multiply
    3,247.31x = 7,013.53 × 7,013.53
  4. Step 4: Simplify right side
    3,247.31x = 49,189,620.59
  5. Step 5: Solve for x
    x = 49,189,620.59/3,247.31
  6. Step 6: Final answer
    x = 15,147.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.