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Finding the Third Proportional to 22.62 and 44.11

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Solution

The third proportional to 22.62 and 44.11 is: 86.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.62 : 44.11 = 44.11 : x
  2. Step 2: Convert to fraction form
    22.62/44.11 = 44.11/x
  3. Step 3: Cross multiply
    22.62x = 44.11 × 44.11
  4. Step 4: Simplify right side
    22.62x = 1,945.64
  5. Step 5: Solve for x
    x = 1,945.64/22.62
  6. Step 6: Final answer
    x = 86.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.