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Finding the Third Proportional to 11.84 and 24.59

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Solution

The third proportional to 11.84 and 24.59 is: 51.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 24.59 = 24.59 : x
  2. Step 2: Convert to fraction form
    11.84/24.59 = 24.59/x
  3. Step 3: Cross multiply
    11.84x = 24.59 × 24.59
  4. Step 4: Simplify right side
    11.84x = 604.70
  5. Step 5: Solve for x
    x = 604.70/11.84
  6. Step 6: Final answer
    x = 51.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.