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Finding the Third Proportional to 31,731.75 and 69,691.69

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Solution

The third proportional to 31,731.75 and 69,691.69 is: 153,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.75 : 69,691.69 = 69,691.69 : x
  2. Step 2: Convert to fraction form
    31,731.75/69,691.69 = 69,691.69/x
  3. Step 3: Cross multiply
    31,731.75x = 69,691.69 × 69,691.69
  4. Step 4: Simplify right side
    31,731.75x = 4,856,931,306.60
  5. Step 5: Solve for x
    x = 4,856,931,306.60/31,731.75
  6. Step 6: Final answer
    x = 153,062.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.