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Finding the Third Proportional to 11.88 and 19.75

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Solution

The third proportional to 11.88 and 19.75 is: 32.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.88 : 19.75 = 19.75 : x
  2. Step 2: Convert to fraction form
    11.88/19.75 = 19.75/x
  3. Step 3: Cross multiply
    11.88x = 19.75 × 19.75
  4. Step 4: Simplify right side
    11.88x = 390.06
  5. Step 5: Solve for x
    x = 390.06/11.88
  6. Step 6: Final answer
    x = 32.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.