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Finding the Third Proportional to 38,245 and 82,027

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Solution

The third proportional to 38,245 and 82,027 is: 175,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245 : 82,027 = 82,027 : x
  2. Step 2: Convert to fraction form
    38,245/82,027 = 82,027/x
  3. Step 3: Cross multiply
    38,245x = 82,027 × 82,027
  4. Step 4: Simplify right side
    38,245x = 6,728,428,729
  5. Step 5: Solve for x
    x = 6,728,428,729/38,245
  6. Step 6: Final answer
    x = 175,929.63

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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.