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Finding the Third Proportional to 50.94 and 57.69

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Solution

The third proportional to 50.94 and 57.69 is: 65.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 57.69 = 57.69 : x
  2. Step 2: Convert to fraction form
    50.94/57.69 = 57.69/x
  3. Step 3: Cross multiply
    50.94x = 57.69 × 57.69
  4. Step 4: Simplify right side
    50.94x = 3,327.85
  5. Step 5: Solve for x
    x = 3,327.85/50.94
  6. Step 6: Final answer
    x = 65.33

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.