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Finding the Third Proportional to 34.17 and 86.85

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Solution

The third proportional to 34.17 and 86.85 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 86.85 = 86.85 : x
  2. Step 2: Convert to fraction form
    34.17/86.85 = 86.85/x
  3. Step 3: Cross multiply
    34.17x = 86.85 × 86.85
  4. Step 4: Simplify right side
    34.17x = 7,543.53
  5. Step 5: Solve for x
    x = 7,543.53/34.17
  6. Step 6: Final answer
    x = 220.75

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.