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Finding the Third Proportional to 11.76 and 24.10

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Solution

The third proportional to 11.76 and 24.10 is: 49.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.76 : 24.10 = 24.10 : x
  2. Step 2: Convert to fraction form
    11.76/24.10 = 24.10/x
  3. Step 3: Cross multiply
    11.76x = 24.10 × 24.10
  4. Step 4: Simplify right side
    11.76x = 580.79
  5. Step 5: Solve for x
    x = 580.79/11.76
  6. Step 6: Final answer
    x = 49.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.