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Finding the Third Proportional to 38,016 and 51,192

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Solution

The third proportional to 38,016 and 51,192 is: 68,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 51,192 = 51,192 : x
  2. Step 2: Convert to fraction form
    38,016/51,192 = 51,192/x
  3. Step 3: Cross multiply
    38,016x = 51,192 × 51,192
  4. Step 4: Simplify right side
    38,016x = 2,620,620,864
  5. Step 5: Solve for x
    x = 2,620,620,864/38,016
  6. Step 6: Final answer
    x = 68,934.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.