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Finding the Third Proportional to 11.75 and 24.88

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Solution

The third proportional to 11.75 and 24.88 is: 52.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 24.88 = 24.88 : x
  2. Step 2: Convert to fraction form
    11.75/24.88 = 24.88/x
  3. Step 3: Cross multiply
    11.75x = 24.88 × 24.88
  4. Step 4: Simplify right side
    11.75x = 618.77
  5. Step 5: Solve for x
    x = 618.77/11.75
  6. Step 6: Final answer
    x = 52.66

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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.