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Finding the Third Proportional to 21.97 and 44.85

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Solution

The third proportional to 21.97 and 44.85 is: 91.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 44.85 = 44.85 : x
  2. Step 2: Convert to fraction form
    21.97/44.85 = 44.85/x
  3. Step 3: Cross multiply
    21.97x = 44.85 × 44.85
  4. Step 4: Simplify right side
    21.97x = 2,011.14
  5. Step 5: Solve for x
    x = 2,011.14/21.97
  6. Step 6: Final answer
    x = 91.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.