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Finding the Third Proportional to 31,440.38 and 67,379.63

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Solution

The third proportional to 31,440.38 and 67,379.63 is: 144,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440.38 : 67,379.63 = 67,379.63 : x
  2. Step 2: Convert to fraction form
    31,440.38/67,379.63 = 67,379.63/x
  3. Step 3: Cross multiply
    31,440.38x = 67,379.63 × 67,379.63
  4. Step 4: Simplify right side
    31,440.38x = 4,540,013,865.14
  5. Step 5: Solve for x
    x = 4,540,013,865.14/31,440.38
  6. Step 6: Final answer
    x = 144,400.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.