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Finding the Third Proportional to 21.33 and 44.96

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Solution

The third proportional to 21.33 and 44.96 is: 94.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.33 : 44.96 = 44.96 : x
  2. Step 2: Convert to fraction form
    21.33/44.96 = 44.96/x
  3. Step 3: Cross multiply
    21.33x = 44.96 × 44.96
  4. Step 4: Simplify right side
    21.33x = 2,021.05
  5. Step 5: Solve for x
    x = 2,021.05/21.33
  6. Step 6: Final answer
    x = 94.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.