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Finding the Third Proportional to 36,786 and 80,863

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Solution

The third proportional to 36,786 and 80,863 is: 177,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,786 : 80,863 = 80,863 : x
  2. Step 2: Convert to fraction form
    36,786/80,863 = 80,863/x
  3. Step 3: Cross multiply
    36,786x = 80,863 × 80,863
  4. Step 4: Simplify right side
    36,786x = 6,538,824,769
  5. Step 5: Solve for x
    x = 6,538,824,769/36,786
  6. Step 6: Final answer
    x = 177,753.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.