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Finding the Third Proportional to 23.84 and 50.76

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Solution

The third proportional to 23.84 and 50.76 is: 108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.84 : 50.76 = 50.76 : x
  2. Step 2: Convert to fraction form
    23.84/50.76 = 50.76/x
  3. Step 3: Cross multiply
    23.84x = 50.76 × 50.76
  4. Step 4: Simplify right side
    23.84x = 2,576.26
  5. Step 5: Solve for x
    x = 2,576.26/23.84
  6. Step 6: Final answer
    x = 108.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.