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Finding the Third Proportional to 37.44 and 82

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Solution

The third proportional to 37.44 and 82 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.44 : 82 = 82 : x
  2. Step 2: Convert to fraction form
    37.44/82 = 82/x
  3. Step 3: Cross multiply
    37.44x = 82 × 82
  4. Step 4: Simplify right side
    37.44x = 6,724
  5. Step 5: Solve for x
    x = 6,724/37.44
  6. Step 6: Final answer
    x = 179.61

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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.