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Finding the Third Proportional to 22.89 and 34.49

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Solution

The third proportional to 22.89 and 34.49 is: 51.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.89 : 34.49 = 34.49 : x
  2. Step 2: Convert to fraction form
    22.89/34.49 = 34.49/x
  3. Step 3: Cross multiply
    22.89x = 34.49 × 34.49
  4. Step 4: Simplify right side
    22.89x = 1,189.44
  5. Step 5: Solve for x
    x = 1,189.44/22.89
  6. Step 6: Final answer
    x = 51.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.