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Finding the Third Proportional to 11.39 and 24.64

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Solution

The third proportional to 11.39 and 24.64 is: 53.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.39 : 24.64 = 24.64 : x
  2. Step 2: Convert to fraction form
    11.39/24.64 = 24.64/x
  3. Step 3: Cross multiply
    11.39x = 24.64 × 24.64
  4. Step 4: Simplify right side
    11.39x = 607.35
  5. Step 5: Solve for x
    x = 607.35/11.39
  6. Step 6: Final answer
    x = 53.32

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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.