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Finding the Third Proportional to 38,494 and 80,012

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Solution

The third proportional to 38,494 and 80,012 is: 166,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494 : 80,012 = 80,012 : x
  2. Step 2: Convert to fraction form
    38,494/80,012 = 80,012/x
  3. Step 3: Cross multiply
    38,494x = 80,012 × 80,012
  4. Step 4: Simplify right side
    38,494x = 6,401,920,144
  5. Step 5: Solve for x
    x = 6,401,920,144/38,494
  6. Step 6: Final answer
    x = 166,309.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.