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Finding the Third Proportional to 38,832 and 84,016

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Solution

The third proportional to 38,832 and 84,016 is: 181,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832 : 84,016 = 84,016 : x
  2. Step 2: Convert to fraction form
    38,832/84,016 = 84,016/x
  3. Step 3: Cross multiply
    38,832x = 84,016 × 84,016
  4. Step 4: Simplify right side
    38,832x = 7,058,688,256
  5. Step 5: Solve for x
    x = 7,058,688,256/38,832
  6. Step 6: Final answer
    x = 181,775.04

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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.