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Finding the Third Proportional to 38,924 and 80,616

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Solution

The third proportional to 38,924 and 80,616 is: 166,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924 : 80,616 = 80,616 : x
  2. Step 2: Convert to fraction form
    38,924/80,616 = 80,616/x
  3. Step 3: Cross multiply
    38,924x = 80,616 × 80,616
  4. Step 4: Simplify right side
    38,924x = 6,498,939,456
  5. Step 5: Solve for x
    x = 6,498,939,456/38,924
  6. Step 6: Final answer
    x = 166,964.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.