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Finding the Third Proportional to 23.99 and 50.68

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Solution

The third proportional to 23.99 and 50.68 is: 107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.99 : 50.68 = 50.68 : x
  2. Step 2: Convert to fraction form
    23.99/50.68 = 50.68/x
  3. Step 3: Cross multiply
    23.99x = 50.68 × 50.68
  4. Step 4: Simplify right side
    23.99x = 2,568.23
  5. Step 5: Solve for x
    x = 2,568.23/23.99
  6. Step 6: Final answer
    x = 107.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.