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Finding the Third Proportional to 41.29 and 90.41

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Solution

The third proportional to 41.29 and 90.41 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 90.41 = 90.41 : x
  2. Step 2: Convert to fraction form
    41.29/90.41 = 90.41/x
  3. Step 3: Cross multiply
    41.29x = 90.41 × 90.41
  4. Step 4: Simplify right side
    41.29x = 8,174.53
  5. Step 5: Solve for x
    x = 8,174.53/41.29
  6. Step 6: Final answer
    x = 197.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.