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Finding the Third Proportional to 38.03 and 82.44

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Solution

The third proportional to 38.03 and 82.44 is: 178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.03 : 82.44 = 82.44 : x
  2. Step 2: Convert to fraction form
    38.03/82.44 = 82.44/x
  3. Step 3: Cross multiply
    38.03x = 82.44 × 82.44
  4. Step 4: Simplify right side
    38.03x = 6,795.94
  5. Step 5: Solve for x
    x = 6,795.94/38.03
  6. Step 6: Final answer
    x = 178.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.