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Finding the Third Proportional to 50.94 and 55.44

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Solution

The third proportional to 50.94 and 55.44 is: 60.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 55.44 = 55.44 : x
  2. Step 2: Convert to fraction form
    50.94/55.44 = 55.44/x
  3. Step 3: Cross multiply
    50.94x = 55.44 × 55.44
  4. Step 4: Simplify right side
    50.94x = 3,073.32
  5. Step 5: Solve for x
    x = 3,073.32/50.94
  6. Step 6: Final answer
    x = 60.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.