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Finding the Third Proportional to 22.75 and 44.69

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Solution

The third proportional to 22.75 and 44.69 is: 87.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 44.69 = 44.69 : x
  2. Step 2: Convert to fraction form
    22.75/44.69 = 44.69/x
  3. Step 3: Cross multiply
    22.75x = 44.69 × 44.69
  4. Step 4: Simplify right side
    22.75x = 1,996.97
  5. Step 5: Solve for x
    x = 1,996.97/22.75
  6. Step 6: Final answer
    x = 87.78

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.