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Finding the Third Proportional to 36,672.96 and 80,352.42

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Solution

The third proportional to 36,672.96 and 80,352.42 is: 176,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,672.96 : 80,352.42 = 80,352.42 : x
  2. Step 2: Convert to fraction form
    36,672.96/80,352.42 = 80,352.42/x
  3. Step 3: Cross multiply
    36,672.96x = 80,352.42 × 80,352.42
  4. Step 4: Simplify right side
    36,672.96x = 6,456,511,701.18
  5. Step 5: Solve for x
    x = 6,456,511,701.18/36,672.96
  6. Step 6: Final answer
    x = 176,056.46

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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.