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Finding the Third Proportional to 31,367 and 67,027

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Solution

The third proportional to 31,367 and 67,027 is: 143,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367 : 67,027 = 67,027 : x
  2. Step 2: Convert to fraction form
    31,367/67,027 = 67,027/x
  3. Step 3: Cross multiply
    31,367x = 67,027 × 67,027
  4. Step 4: Simplify right side
    31,367x = 4,492,618,729
  5. Step 5: Solve for x
    x = 4,492,618,729/31,367
  6. Step 6: Final answer
    x = 143,227.56

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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.