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Finding the Third Proportional to 33.94 and 55.09

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Solution

The third proportional to 33.94 and 55.09 is: 89.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.94 : 55.09 = 55.09 : x
  2. Step 2: Convert to fraction form
    33.94/55.09 = 55.09/x
  3. Step 3: Cross multiply
    33.94x = 55.09 × 55.09
  4. Step 4: Simplify right side
    33.94x = 3,035.32
  5. Step 5: Solve for x
    x = 3,035.32/33.94
  6. Step 6: Final answer
    x = 89.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.