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Finding the Third Proportional to 11.67 and 24.54

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Solution

The third proportional to 11.67 and 24.54 is: 51.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.67 : 24.54 = 24.54 : x
  2. Step 2: Convert to fraction form
    11.67/24.54 = 24.54/x
  3. Step 3: Cross multiply
    11.67x = 24.54 × 24.54
  4. Step 4: Simplify right side
    11.67x = 602.17
  5. Step 5: Solve for x
    x = 602.17/11.67
  6. Step 6: Final answer
    x = 51.59

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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.