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Finding the Third Proportional to 11.12 and 24.29

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Solution

The third proportional to 11.12 and 24.29 is: 53.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.12 : 24.29 = 24.29 : x
  2. Step 2: Convert to fraction form
    11.12/24.29 = 24.29/x
  3. Step 3: Cross multiply
    11.12x = 24.29 × 24.29
  4. Step 4: Simplify right side
    11.12x = 590.20
  5. Step 5: Solve for x
    x = 590.20/11.12
  6. Step 6: Final answer
    x = 53.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.