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Finding the Third Proportional to 11.97 and 19.06

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Solution

The third proportional to 11.97 and 19.06 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 19.06 = 19.06 : x
  2. Step 2: Convert to fraction form
    11.97/19.06 = 19.06/x
  3. Step 3: Cross multiply
    11.97x = 19.06 × 19.06
  4. Step 4: Simplify right side
    11.97x = 363.38
  5. Step 5: Solve for x
    x = 363.38/11.97
  6. Step 6: Final answer
    x = 30.36

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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.