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Finding the Third Proportional to 34 and 82

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Solution

The third proportional to 34 and 82 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 82 = 82 : x
  2. Step 2: Convert to fraction form
    34/82 = 82/x
  3. Step 3: Cross multiply
    34x = 82 × 82
  4. Step 4: Simplify right side
    34x = 6,724
  5. Step 5: Solve for x
    x = 6,724/34
  6. Step 6: Final answer
    x = 197.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.