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Finding the Third Proportional to 31,912.88 and 67,861.13

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Solution

The third proportional to 31,912.88 and 67,861.13 is: 144,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.88 : 67,861.13 = 67,861.13 : x
  2. Step 2: Convert to fraction form
    31,912.88/67,861.13 = 67,861.13/x
  3. Step 3: Cross multiply
    31,912.88x = 67,861.13 × 67,861.13
  4. Step 4: Simplify right side
    31,912.88x = 4,605,132,286.27
  5. Step 5: Solve for x
    x = 4,605,132,286.27/31,912.88
  6. Step 6: Final answer
    x = 144,303.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.