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Finding the Third Proportional to 31,418.72 and 67,757.91

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Solution

The third proportional to 31,418.72 and 67,757.91 is: 146,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.72 : 67,757.91 = 67,757.91 : x
  2. Step 2: Convert to fraction form
    31,418.72/67,757.91 = 67,757.91/x
  3. Step 3: Cross multiply
    31,418.72x = 67,757.91 × 67,757.91
  4. Step 4: Simplify right side
    31,418.72x = 4,591,133,859.38
  5. Step 5: Solve for x
    x = 4,591,133,859.38/31,418.72
  6. Step 6: Final answer
    x = 146,127.34

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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.