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Finding the Third Proportional to 41.13 and 84.16

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Solution

The third proportional to 41.13 and 84.16 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 84.16 = 84.16 : x
  2. Step 2: Convert to fraction form
    41.13/84.16 = 84.16/x
  3. Step 3: Cross multiply
    41.13x = 84.16 × 84.16
  4. Step 4: Simplify right side
    41.13x = 7,083.59
  5. Step 5: Solve for x
    x = 7,083.59/41.13
  6. Step 6: Final answer
    x = 172.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.