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Finding the Third Proportional to 11.08 and 23.49

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Solution

The third proportional to 11.08 and 23.49 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.08 : 23.49 = 23.49 : x
  2. Step 2: Convert to fraction form
    11.08/23.49 = 23.49/x
  3. Step 3: Cross multiply
    11.08x = 23.49 × 23.49
  4. Step 4: Simplify right side
    11.08x = 551.75
  5. Step 5: Solve for x
    x = 551.75/11.08
  6. Step 6: Final answer
    x = 49.78

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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.