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Finding the Third Proportional to 38,279 and 82,096

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Solution

The third proportional to 38,279 and 82,096 is: 176,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,279 : 82,096 = 82,096 : x
  2. Step 2: Convert to fraction form
    38,279/82,096 = 82,096/x
  3. Step 3: Cross multiply
    38,279x = 82,096 × 82,096
  4. Step 4: Simplify right side
    38,279x = 6,739,753,216
  5. Step 5: Solve for x
    x = 6,739,753,216/38,279
  6. Step 6: Final answer
    x = 176,069.21

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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.