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Finding the Third Proportional to 11.88 and 25.83

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Solution

The third proportional to 11.88 and 25.83 is: 56.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.88 : 25.83 = 25.83 : x
  2. Step 2: Convert to fraction form
    11.88/25.83 = 25.83/x
  3. Step 3: Cross multiply
    11.88x = 25.83 × 25.83
  4. Step 4: Simplify right side
    11.88x = 667.27
  5. Step 5: Solve for x
    x = 667.27/11.88
  6. Step 6: Final answer
    x = 56.18

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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.