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Finding the Third Proportional to 38,277 and 56,079

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Solution

The third proportional to 38,277 and 56,079 is: 82,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 56,079 = 56,079 : x
  2. Step 2: Convert to fraction form
    38,277/56,079 = 56,079/x
  3. Step 3: Cross multiply
    38,277x = 56,079 × 56,079
  4. Step 4: Simplify right side
    38,277x = 3,144,854,241
  5. Step 5: Solve for x
    x = 3,144,854,241/38,277
  6. Step 6: Final answer
    x = 82,160.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.