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Finding the Third Proportional to 41.16 and 90.60

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Solution

The third proportional to 41.16 and 90.60 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 90.60 = 90.60 : x
  2. Step 2: Convert to fraction form
    41.16/90.60 = 90.60/x
  3. Step 3: Cross multiply
    41.16x = 90.60 × 90.60
  4. Step 4: Simplify right side
    41.16x = 8,207.94
  5. Step 5: Solve for x
    x = 8,207.94/41.16
  6. Step 6: Final answer
    x = 199.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.