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Finding the Third Proportional to 50.38 and 53.94

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Solution

The third proportional to 50.38 and 53.94 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 53.94 = 53.94 : x
  2. Step 2: Convert to fraction form
    50.38/53.94 = 53.94/x
  3. Step 3: Cross multiply
    50.38x = 53.94 × 53.94
  4. Step 4: Simplify right side
    50.38x = 2,909.25
  5. Step 5: Solve for x
    x = 2,909.25/50.38
  6. Step 6: Final answer
    x = 57.75

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.