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Finding the Third Proportional to 38,016 and 84,456

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Solution

The third proportional to 38,016 and 84,456 is: 187,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 84,456 = 84,456 : x
  2. Step 2: Convert to fraction form
    38,016/84,456 = 84,456/x
  3. Step 3: Cross multiply
    38,016x = 84,456 × 84,456
  4. Step 4: Simplify right side
    38,016x = 7,132,815,936
  5. Step 5: Solve for x
    x = 7,132,815,936/38,016
  6. Step 6: Final answer
    x = 187,626.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.