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Finding the Third Proportional to 38,251 and 82,855

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Solution

The third proportional to 38,251 and 82,855 is: 179,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,251 : 82,855 = 82,855 : x
  2. Step 2: Convert to fraction form
    38,251/82,855 = 82,855/x
  3. Step 3: Cross multiply
    38,251x = 82,855 × 82,855
  4. Step 4: Simplify right side
    38,251x = 6,864,951,025
  5. Step 5: Solve for x
    x = 6,864,951,025/38,251
  6. Step 6: Final answer
    x = 179,471.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.