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Finding the Third Proportional to 22.14 and 33.54

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Solution

The third proportional to 22.14 and 33.54 is: 50.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.14 : 33.54 = 33.54 : x
  2. Step 2: Convert to fraction form
    22.14/33.54 = 33.54/x
  3. Step 3: Cross multiply
    22.14x = 33.54 × 33.54
  4. Step 4: Simplify right side
    22.14x = 1,124.87
  5. Step 5: Solve for x
    x = 1,124.87/22.14
  6. Step 6: Final answer
    x = 50.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.