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Finding the Third Proportional to 31,203.38 and 67,327.13

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Solution

The third proportional to 31,203.38 and 67,327.13 is: 145,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.38 : 67,327.13 = 67,327.13 : x
  2. Step 2: Convert to fraction form
    31,203.38/67,327.13 = 67,327.13/x
  3. Step 3: Cross multiply
    31,203.38x = 67,327.13 × 67,327.13
  4. Step 4: Simplify right side
    31,203.38x = 4,532,941,760.77
  5. Step 5: Solve for x
    x = 4,532,941,760.77/31,203.38
  6. Step 6: Final answer
    x = 145,270.88

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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.