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Finding the Third Proportional to 31,296.38 and 67,044.38

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Solution

The third proportional to 31,296.38 and 67,044.38 is: 143,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.38 : 67,044.38 = 67,044.38 : x
  2. Step 2: Convert to fraction form
    31,296.38/67,044.38 = 67,044.38/x
  3. Step 3: Cross multiply
    31,296.38x = 67,044.38 × 67,044.38
  4. Step 4: Simplify right side
    31,296.38x = 4,494,948,219.14
  5. Step 5: Solve for x
    x = 4,494,948,219.14/31,296.38
  6. Step 6: Final answer
    x = 143,625.20

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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.