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Finding the Third Proportional to 24.42 and 51.73

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Solution

The third proportional to 24.42 and 51.73 is: 109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.42 : 51.73 = 51.73 : x
  2. Step 2: Convert to fraction form
    24.42/51.73 = 51.73/x
  3. Step 3: Cross multiply
    24.42x = 51.73 × 51.73
  4. Step 4: Simplify right side
    24.42x = 2,676.24
  5. Step 5: Solve for x
    x = 2,676.24/24.42
  6. Step 6: Final answer
    x = 109.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.