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Finding the Third Proportional to 38,016 and 82,176

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Solution

The third proportional to 38,016 and 82,176 is: 177,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 82,176 = 82,176 : x
  2. Step 2: Convert to fraction form
    38,016/82,176 = 82,176/x
  3. Step 3: Cross multiply
    38,016x = 82,176 × 82,176
  4. Step 4: Simplify right side
    38,016x = 6,752,894,976
  5. Step 5: Solve for x
    x = 6,752,894,976/38,016
  6. Step 6: Final answer
    x = 177,632.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.