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Finding the Third Proportional to 38,267 and 81,079

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Solution

The third proportional to 38,267 and 81,079 is: 171,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,267 : 81,079 = 81,079 : x
  2. Step 2: Convert to fraction form
    38,267/81,079 = 81,079/x
  3. Step 3: Cross multiply
    38,267x = 81,079 × 81,079
  4. Step 4: Simplify right side
    38,267x = 6,573,804,241
  5. Step 5: Solve for x
    x = 6,573,804,241/38,267
  6. Step 6: Final answer
    x = 171,787.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.