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Finding the Third Proportional to 31,411.55 and 67,743.56

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Solution

The third proportional to 31,411.55 and 67,743.56 is: 146,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.55 : 67,743.56 = 67,743.56 : x
  2. Step 2: Convert to fraction form
    31,411.55/67,743.56 = 67,743.56/x
  3. Step 3: Cross multiply
    31,411.55x = 67,743.56 × 67,743.56
  4. Step 4: Simplify right side
    31,411.55x = 4,589,190,260.19
  5. Step 5: Solve for x
    x = 4,589,190,260.19/31,411.55
  6. Step 6: Final answer
    x = 146,098.83

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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.