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Finding the Third Proportional to 38,277 and 82,092

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Solution

The third proportional to 38,277 and 82,092 is: 176,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 82,092 = 82,092 : x
  2. Step 2: Convert to fraction form
    38,277/82,092 = 82,092/x
  3. Step 3: Cross multiply
    38,277x = 82,092 × 82,092
  4. Step 4: Simplify right side
    38,277x = 6,739,096,464
  5. Step 5: Solve for x
    x = 6,739,096,464/38,277
  6. Step 6: Final answer
    x = 176,061.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.