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Finding the Third Proportional to 36,982.50 and 80,876.25

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Solution

The third proportional to 36,982.50 and 80,876.25 is: 176,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982.50 : 80,876.25 = 80,876.25 : x
  2. Step 2: Convert to fraction form
    36,982.50/80,876.25 = 80,876.25/x
  3. Step 3: Cross multiply
    36,982.50x = 80,876.25 × 80,876.25
  4. Step 4: Simplify right side
    36,982.50x = 6,540,967,814.06
  5. Step 5: Solve for x
    x = 6,540,967,814.06/36,982.50
  6. Step 6: Final answer
    x = 176,866.57

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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.