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Finding the Third Proportional to 5.44 and 11.58

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Solution

The third proportional to 5.44 and 11.58 is: 24.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.44 : 11.58 = 11.58 : x
  2. Step 2: Convert to fraction form
    5.44/11.58 = 11.58/x
  3. Step 3: Cross multiply
    5.44x = 11.58 × 11.58
  4. Step 4: Simplify right side
    5.44x = 134.05
  5. Step 5: Solve for x
    x = 134.05/5.44
  6. Step 6: Final answer
    x = 24.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.