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Finding the Third Proportional to 24.76 and 51.97

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Solution

The third proportional to 24.76 and 51.97 is: 109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.76 : 51.97 = 51.97 : x
  2. Step 2: Convert to fraction form
    24.76/51.97 = 51.97/x
  3. Step 3: Cross multiply
    24.76x = 51.97 × 51.97
  4. Step 4: Simplify right side
    24.76x = 2,700.85
  5. Step 5: Solve for x
    x = 2,700.85/24.76
  6. Step 6: Final answer
    x = 109.09

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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.