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Finding the Third Proportional to 19.97 and 30.91

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Solution

The third proportional to 19.97 and 30.91 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 30.91 = 30.91 : x
  2. Step 2: Convert to fraction form
    19.97/30.91 = 30.91/x
  3. Step 3: Cross multiply
    19.97x = 30.91 × 30.91
  4. Step 4: Simplify right side
    19.97x = 955.20
  5. Step 5: Solve for x
    x = 955.20/19.97
  6. Step 6: Final answer
    x = 47.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.