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Finding the Third Proportional to 11.30 and 24.38

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Solution

The third proportional to 11.30 and 24.38 is: 52.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.30 : 24.38 = 24.38 : x
  2. Step 2: Convert to fraction form
    11.30/24.38 = 24.38/x
  3. Step 3: Cross multiply
    11.30x = 24.38 × 24.38
  4. Step 4: Simplify right side
    11.30x = 594.21
  5. Step 5: Solve for x
    x = 594.21/11.30
  6. Step 6: Final answer
    x = 52.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.