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Finding the Third Proportional to 23.97 and 52.22

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Solution

The third proportional to 23.97 and 52.22 is: 113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.97 : 52.22 = 52.22 : x
  2. Step 2: Convert to fraction form
    23.97/52.22 = 52.22/x
  3. Step 3: Cross multiply
    23.97x = 52.22 × 52.22
  4. Step 4: Simplify right side
    23.97x = 2,726.80
  5. Step 5: Solve for x
    x = 2,726.80/23.97
  6. Step 6: Final answer
    x = 113.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.