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Finding the Third Proportional to 31,591.90 and 67,626.14

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Solution

The third proportional to 31,591.90 and 67,626.14 is: 144,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.90 : 67,626.14 = 67,626.14 : x
  2. Step 2: Convert to fraction form
    31,591.90/67,626.14 = 67,626.14/x
  3. Step 3: Cross multiply
    31,591.90x = 67,626.14 × 67,626.14
  4. Step 4: Simplify right side
    31,591.90x = 4,573,294,895.83
  5. Step 5: Solve for x
    x = 4,573,294,895.83/31,591.90
  6. Step 6: Final answer
    x = 144,761.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.