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Finding the Third Proportional to 38,191.50 and 82,026

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Solution

The third proportional to 38,191.50 and 82,026 is: 176,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.50 : 82,026 = 82,026 : x
  2. Step 2: Convert to fraction form
    38,191.50/82,026 = 82,026/x
  3. Step 3: Cross multiply
    38,191.50x = 82,026 × 82,026
  4. Step 4: Simplify right side
    38,191.50x = 6,728,264,676
  5. Step 5: Solve for x
    x = 6,728,264,676/38,191.50
  6. Step 6: Final answer
    x = 176,171.78

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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.