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Finding the Third Proportional to 24.49 and 51.42

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Solution

The third proportional to 24.49 and 51.42 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.49 : 51.42 = 51.42 : x
  2. Step 2: Convert to fraction form
    24.49/51.42 = 51.42/x
  3. Step 3: Cross multiply
    24.49x = 51.42 × 51.42
  4. Step 4: Simplify right side
    24.49x = 2,644.21
  5. Step 5: Solve for x
    x = 2,644.21/24.49
  6. Step 6: Final answer
    x = 107.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.