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Finding the Third Proportional to 5.39 and 11.77

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Solution

The third proportional to 5.39 and 11.77 is: 25.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.39 : 11.77 = 11.77 : x
  2. Step 2: Convert to fraction form
    5.39/11.77 = 11.77/x
  3. Step 3: Cross multiply
    5.39x = 11.77 × 11.77
  4. Step 4: Simplify right side
    5.39x = 138.43
  5. Step 5: Solve for x
    x = 138.43/5.39
  6. Step 6: Final answer
    x = 25.68

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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.