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Finding the Third Proportional to 11.45 and 24.39

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Solution

The third proportional to 11.45 and 24.39 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.45 : 24.39 = 24.39 : x
  2. Step 2: Convert to fraction form
    11.45/24.39 = 24.39/x
  3. Step 3: Cross multiply
    11.45x = 24.39 × 24.39
  4. Step 4: Simplify right side
    11.45x = 594.65
  5. Step 5: Solve for x
    x = 594.65/11.45
  6. Step 6: Final answer
    x = 51.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.