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Finding the Third Proportional to 11.13 and 24.34

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Solution

The third proportional to 11.13 and 24.34 is: 53.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.13 : 24.34 = 24.34 : x
  2. Step 2: Convert to fraction form
    11.13/24.34 = 24.34/x
  3. Step 3: Cross multiply
    11.13x = 24.34 × 24.34
  4. Step 4: Simplify right side
    11.13x = 592.62
  5. Step 5: Solve for x
    x = 592.62/11.13
  6. Step 6: Final answer
    x = 53.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.