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Finding the Third Proportional to 31,060.34 and 67,079.39

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Solution

The third proportional to 31,060.34 and 67,079.39 is: 144,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.34 : 67,079.39 = 67,079.39 : x
  2. Step 2: Convert to fraction form
    31,060.34/67,079.39 = 67,079.39/x
  3. Step 3: Cross multiply
    31,060.34x = 67,079.39 × 67,079.39
  4. Step 4: Simplify right side
    31,060.34x = 4,499,644,646.62
  5. Step 5: Solve for x
    x = 4,499,644,646.62/31,060.34
  6. Step 6: Final answer
    x = 144,867.87

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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.