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Finding the Third Proportional to 38,662 and 84,698

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Solution

The third proportional to 38,662 and 84,698 is: 185,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662 : 84,698 = 84,698 : x
  2. Step 2: Convert to fraction form
    38,662/84,698 = 84,698/x
  3. Step 3: Cross multiply
    38,662x = 84,698 × 84,698
  4. Step 4: Simplify right side
    38,662x = 7,173,751,204
  5. Step 5: Solve for x
    x = 7,173,751,204/38,662
  6. Step 6: Final answer
    x = 185,550.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.