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Finding the Third Proportional to 41.25 and 97.22

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Solution

The third proportional to 41.25 and 97.22 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.25 : 97.22 = 97.22 : x
  2. Step 2: Convert to fraction form
    41.25/97.22 = 97.22/x
  3. Step 3: Cross multiply
    41.25x = 97.22 × 97.22
  4. Step 4: Simplify right side
    41.25x = 9,451.49
  5. Step 5: Solve for x
    x = 9,451.49/41.25
  6. Step 6: Final answer
    x = 229.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.