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Finding the Third Proportional to 38,200.50 and 82,251

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Solution

The third proportional to 38,200.50 and 82,251 is: 177,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.50 : 82,251 = 82,251 : x
  2. Step 2: Convert to fraction form
    38,200.50/82,251 = 82,251/x
  3. Step 3: Cross multiply
    38,200.50x = 82,251 × 82,251
  4. Step 4: Simplify right side
    38,200.50x = 6,765,227,001
  5. Step 5: Solve for x
    x = 6,765,227,001/38,200.50
  6. Step 6: Final answer
    x = 177,097.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.