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Finding the Third Proportional to 31,134.38 and 67,498.31

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Solution

The third proportional to 31,134.38 and 67,498.31 is: 146,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.38 : 67,498.31 = 67,498.31 : x
  2. Step 2: Convert to fraction form
    31,134.38/67,498.31 = 67,498.31/x
  3. Step 3: Cross multiply
    31,134.38x = 67,498.31 × 67,498.31
  4. Step 4: Simplify right side
    31,134.38x = 4,556,022,190.35
  5. Step 5: Solve for x
    x = 4,556,022,190.35/31,134.38
  6. Step 6: Final answer
    x = 146,334.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.