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Finding the Third Proportional to 22.46 and 34.49

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Solution

The third proportional to 22.46 and 34.49 is: 52.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.46 : 34.49 = 34.49 : x
  2. Step 2: Convert to fraction form
    22.46/34.49 = 34.49/x
  3. Step 3: Cross multiply
    22.46x = 34.49 × 34.49
  4. Step 4: Simplify right side
    22.46x = 1,189.44
  5. Step 5: Solve for x
    x = 1,189.44/22.46
  6. Step 6: Final answer
    x = 52.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.