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Finding the Third Proportional to 23.93 and 50.75

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Solution

The third proportional to 23.93 and 50.75 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.93 : 50.75 = 50.75 : x
  2. Step 2: Convert to fraction form
    23.93/50.75 = 50.75/x
  3. Step 3: Cross multiply
    23.93x = 50.75 × 50.75
  4. Step 4: Simplify right side
    23.93x = 2,576.01
  5. Step 5: Solve for x
    x = 2,576.01/23.93
  6. Step 6: Final answer
    x = 107.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.