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Finding the Third Proportional to 24.88 and 51.44

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Solution

The third proportional to 24.88 and 51.44 is: 106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.88 : 51.44 = 51.44 : x
  2. Step 2: Convert to fraction form
    24.88/51.44 = 51.44/x
  3. Step 3: Cross multiply
    24.88x = 51.44 × 51.44
  4. Step 4: Simplify right side
    24.88x = 2,645.82
  5. Step 5: Solve for x
    x = 2,645.82/24.88
  6. Step 6: Final answer
    x = 106.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.