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Finding the Third Proportional to 3,610.13 and 7,462.41

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Solution

The third proportional to 3,610.13 and 7,462.41 is: 15,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.13 : 7,462.41 = 7,462.41 : x
  2. Step 2: Convert to fraction form
    3,610.13/7,462.41 = 7,462.41/x
  3. Step 3: Cross multiply
    3,610.13x = 7,462.41 × 7,462.41
  4. Step 4: Simplify right side
    3,610.13x = 55,687,507.04
  5. Step 5: Solve for x
    x = 55,687,507.04/3,610.13
  6. Step 6: Final answer
    x = 15,425.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.