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Finding the Third Proportional to 19.97 and 29.67

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Solution

The third proportional to 19.97 and 29.67 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 29.67 = 29.67 : x
  2. Step 2: Convert to fraction form
    19.97/29.67 = 29.67/x
  3. Step 3: Cross multiply
    19.97x = 29.67 × 29.67
  4. Step 4: Simplify right side
    19.97x = 880.42
  5. Step 5: Solve for x
    x = 880.42/19.97
  6. Step 6: Final answer
    x = 44.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.