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Finding the Third Proportional to 38,450 and 83,812

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Solution

The third proportional to 38,450 and 83,812 is: 182,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,450 : 83,812 = 83,812 : x
  2. Step 2: Convert to fraction form
    38,450/83,812 = 83,812/x
  3. Step 3: Cross multiply
    38,450x = 83,812 × 83,812
  4. Step 4: Simplify right side
    38,450x = 7,024,451,344
  5. Step 5: Solve for x
    x = 7,024,451,344/38,450
  6. Step 6: Final answer
    x = 182,690.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.