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Finding the Third Proportional to 11 and 24.31

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Solution

The third proportional to 11 and 24.31 is: 53.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 24.31 = 24.31 : x
  2. Step 2: Convert to fraction form
    11/24.31 = 24.31/x
  3. Step 3: Cross multiply
    11x = 24.31 × 24.31
  4. Step 4: Simplify right side
    11x = 591.10
  5. Step 5: Solve for x
    x = 591.10/11
  6. Step 6: Final answer
    x = 53.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.