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Finding the Third Proportional to 11.93 and 18.98

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Solution

The third proportional to 11.93 and 18.98 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.93 : 18.98 = 18.98 : x
  2. Step 2: Convert to fraction form
    11.93/18.98 = 18.98/x
  3. Step 3: Cross multiply
    11.93x = 18.98 × 18.98
  4. Step 4: Simplify right side
    11.93x = 360.41
  5. Step 5: Solve for x
    x = 360.41/11.93
  6. Step 6: Final answer
    x = 30.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.