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Finding the Third Proportional to 41.41 and 90.69

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Solution

The third proportional to 41.41 and 90.69 is: 198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.41 : 90.69 = 90.69 : x
  2. Step 2: Convert to fraction form
    41.41/90.69 = 90.69/x
  3. Step 3: Cross multiply
    41.41x = 90.69 × 90.69
  4. Step 4: Simplify right side
    41.41x = 8,224.22
  5. Step 5: Solve for x
    x = 8,224.22/41.41
  6. Step 6: Final answer
    x = 198.62

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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.