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Finding the Third Proportional to 23.88 and 51.44

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Solution

The third proportional to 23.88 and 51.44 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.88 : 51.44 = 51.44 : x
  2. Step 2: Convert to fraction form
    23.88/51.44 = 51.44/x
  3. Step 3: Cross multiply
    23.88x = 51.44 × 51.44
  4. Step 4: Simplify right side
    23.88x = 2,645.82
  5. Step 5: Solve for x
    x = 2,645.82/23.88
  6. Step 6: Final answer
    x = 110.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.