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Finding the Third Proportional to 11.84 and 20.19

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Solution

The third proportional to 11.84 and 20.19 is: 34.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 20.19 = 20.19 : x
  2. Step 2: Convert to fraction form
    11.84/20.19 = 20.19/x
  3. Step 3: Cross multiply
    11.84x = 20.19 × 20.19
  4. Step 4: Simplify right side
    11.84x = 407.50
  5. Step 5: Solve for x
    x = 407.50/11.84
  6. Step 6: Final answer
    x = 34.43

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.