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Finding the Third Proportional to 22.54 and 34.55

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Solution

The third proportional to 22.54 and 34.55 is: 52.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 34.55 = 34.55 : x
  2. Step 2: Convert to fraction form
    22.54/34.55 = 34.55/x
  3. Step 3: Cross multiply
    22.54x = 34.55 × 34.55
  4. Step 4: Simplify right side
    22.54x = 1,193.54
  5. Step 5: Solve for x
    x = 1,193.54/22.54
  6. Step 6: Final answer
    x = 52.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.