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Finding the Third Proportional to 41.41 and 95.16

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Solution

The third proportional to 41.41 and 95.16 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.41 : 95.16 = 95.16 : x
  2. Step 2: Convert to fraction form
    41.41/95.16 = 95.16/x
  3. Step 3: Cross multiply
    41.41x = 95.16 × 95.16
  4. Step 4: Simplify right side
    41.41x = 9,055.27
  5. Step 5: Solve for x
    x = 9,055.27/41.41
  6. Step 6: Final answer
    x = 218.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.