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Finding the Third Proportional to 41.17 and 95.20

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Solution

The third proportional to 41.17 and 95.20 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.17 : 95.20 = 95.20 : x
  2. Step 2: Convert to fraction form
    41.17/95.20 = 95.20/x
  3. Step 3: Cross multiply
    41.17x = 95.20 × 95.20
  4. Step 4: Simplify right side
    41.17x = 9,063.64
  5. Step 5: Solve for x
    x = 9,063.64/41.17
  6. Step 6: Final answer
    x = 220.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.