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Finding the Third Proportional to 50.91 and 54.94

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Solution

The third proportional to 50.91 and 54.94 is: 59.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 54.94 = 54.94 : x
  2. Step 2: Convert to fraction form
    50.91/54.94 = 54.94/x
  3. Step 3: Cross multiply
    50.91x = 54.94 × 54.94
  4. Step 4: Simplify right side
    50.91x = 3,018.13
  5. Step 5: Solve for x
    x = 3,018.13/50.91
  6. Step 6: Final answer
    x = 59.29

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.