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Finding the Third Proportional to 38.34 and 82.74

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Solution

The third proportional to 38.34 and 82.74 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 82.74 = 82.74 : x
  2. Step 2: Convert to fraction form
    38.34/82.74 = 82.74/x
  3. Step 3: Cross multiply
    38.34x = 82.74 × 82.74
  4. Step 4: Simplify right side
    38.34x = 6,845.95
  5. Step 5: Solve for x
    x = 6,845.95/38.34
  6. Step 6: Final answer
    x = 178.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.