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Finding the Third Proportional to 36,991.69 and 80,924.06

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Solution

The third proportional to 36,991.69 and 80,924.06 is: 177,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991.69 : 80,924.06 = 80,924.06 : x
  2. Step 2: Convert to fraction form
    36,991.69/80,924.06 = 80,924.06/x
  3. Step 3: Cross multiply
    36,991.69x = 80,924.06 × 80,924.06
  4. Step 4: Simplify right side
    36,991.69x = 6,548,703,891.50
  5. Step 5: Solve for x
    x = 6,548,703,891.50/36,991.69
  6. Step 6: Final answer
    x = 177,031.77

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