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Finding the Third Proportional to 38,189 and 82,027

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Solution

The third proportional to 38,189 and 82,027 is: 176,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189 : 82,027 = 82,027 : x
  2. Step 2: Convert to fraction form
    38,189/82,027 = 82,027/x
  3. Step 3: Cross multiply
    38,189x = 82,027 × 82,027
  4. Step 4: Simplify right side
    38,189x = 6,728,428,729
  5. Step 5: Solve for x
    x = 6,728,428,729/38,189
  6. Step 6: Final answer
    x = 176,187.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.