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Finding the Third Proportional to 38,571 and 80,214

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Solution

The third proportional to 38,571 and 80,214 is: 166,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571 : 80,214 = 80,214 : x
  2. Step 2: Convert to fraction form
    38,571/80,214 = 80,214/x
  3. Step 3: Cross multiply
    38,571x = 80,214 × 80,214
  4. Step 4: Simplify right side
    38,571x = 6,434,285,796
  5. Step 5: Solve for x
    x = 6,434,285,796/38,571
  6. Step 6: Final answer
    x = 166,816.67

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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.