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Finding the Third Proportional to 38.05 and 82.75

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Solution

The third proportional to 38.05 and 82.75 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 82.75 = 82.75 : x
  2. Step 2: Convert to fraction form
    38.05/82.75 = 82.75/x
  3. Step 3: Cross multiply
    38.05x = 82.75 × 82.75
  4. Step 4: Simplify right side
    38.05x = 6,848.33
  5. Step 5: Solve for x
    x = 6,848.33/38.05
  6. Step 6: Final answer
    x = 179.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.