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Finding the Third Proportional to 38,100 and 82,734

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Solution

The third proportional to 38,100 and 82,734 is: 179,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 82,734 = 82,734 : x
  2. Step 2: Convert to fraction form
    38,100/82,734 = 82,734/x
  3. Step 3: Cross multiply
    38,100x = 82,734 × 82,734
  4. Step 4: Simplify right side
    38,100x = 6,844,914,756
  5. Step 5: Solve for x
    x = 6,844,914,756/38,100
  6. Step 6: Final answer
    x = 179,656.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.