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Finding the Third Proportional to 24.92 and 51.57

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Solution

The third proportional to 24.92 and 51.57 is: 106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.92 : 51.57 = 51.57 : x
  2. Step 2: Convert to fraction form
    24.92/51.57 = 51.57/x
  3. Step 3: Cross multiply
    24.92x = 51.57 × 51.57
  4. Step 4: Simplify right side
    24.92x = 2,659.90
  5. Step 5: Solve for x
    x = 2,659.90/24.92
  6. Step 6: Final answer
    x = 106.75

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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.