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Finding the Third Proportional to 31,400 and 67,930

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Solution

The third proportional to 31,400 and 67,930 is: 146,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400 : 67,930 = 67,930 : x
  2. Step 2: Convert to fraction form
    31,400/67,930 = 67,930/x
  3. Step 3: Cross multiply
    31,400x = 67,930 × 67,930
  4. Step 4: Simplify right side
    31,400x = 4,614,484,900
  5. Step 5: Solve for x
    x = 4,614,484,900/31,400
  6. Step 6: Final answer
    x = 146,958.12

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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.