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Finding the Third Proportional to 38,866 and 80,653

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Solution

The third proportional to 38,866 and 80,653 is: 167,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,866 : 80,653 = 80,653 : x
  2. Step 2: Convert to fraction form
    38,866/80,653 = 80,653/x
  3. Step 3: Cross multiply
    38,866x = 80,653 × 80,653
  4. Step 4: Simplify right side
    38,866x = 6,504,906,409
  5. Step 5: Solve for x
    x = 6,504,906,409/38,866
  6. Step 6: Final answer
    x = 167,367.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.