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Finding the Third Proportional to 31,227.19 and 67,447.69

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Solution

The third proportional to 31,227.19 and 67,447.69 is: 145,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.19 : 67,447.69 = 67,447.69 : x
  2. Step 2: Convert to fraction form
    31,227.19/67,447.69 = 67,447.69/x
  3. Step 3: Cross multiply
    31,227.19x = 67,447.69 × 67,447.69
  4. Step 4: Simplify right side
    31,227.19x = 4,549,190,549.10
  5. Step 5: Solve for x
    x = 4,549,190,549.10/31,227.19
  6. Step 6: Final answer
    x = 145,680.44

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