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Finding the Third Proportional to 11.65 and 24.49

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Solution

The third proportional to 11.65 and 24.49 is: 51.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.65 : 24.49 = 24.49 : x
  2. Step 2: Convert to fraction form
    11.65/24.49 = 24.49/x
  3. Step 3: Cross multiply
    11.65x = 24.49 × 24.49
  4. Step 4: Simplify right side
    11.65x = 599.93
  5. Step 5: Solve for x
    x = 599.93/11.65
  6. Step 6: Final answer
    x = 51.49

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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.