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Finding the Third Proportional to 36,379.50 and 80,406

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Solution

The third proportional to 36,379.50 and 80,406 is: 177,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,379.50 : 80,406 = 80,406 : x
  2. Step 2: Convert to fraction form
    36,379.50/80,406 = 80,406/x
  3. Step 3: Cross multiply
    36,379.50x = 80,406 × 80,406
  4. Step 4: Simplify right side
    36,379.50x = 6,465,124,836
  5. Step 5: Solve for x
    x = 6,465,124,836/36,379.50
  6. Step 6: Final answer
    x = 177,713.41

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.