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Finding the Third Proportional to 21.82 and 30.73

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Solution

The third proportional to 21.82 and 30.73 is: 43.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.82 : 30.73 = 30.73 : x
  2. Step 2: Convert to fraction form
    21.82/30.73 = 30.73/x
  3. Step 3: Cross multiply
    21.82x = 30.73 × 30.73
  4. Step 4: Simplify right side
    21.82x = 944.38
  5. Step 5: Solve for x
    x = 944.38/21.82
  6. Step 6: Final answer
    x = 43.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.