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Finding the Third Proportional to 24,828 and 50,376

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Solution

The third proportional to 24,828 and 50,376 is: 102,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828 : 50,376 = 50,376 : x
  2. Step 2: Convert to fraction form
    24,828/50,376 = 50,376/x
  3. Step 3: Cross multiply
    24,828x = 50,376 × 50,376
  4. Step 4: Simplify right side
    24,828x = 2,537,741,376
  5. Step 5: Solve for x
    x = 2,537,741,376/24,828
  6. Step 6: Final answer
    x = 102,212.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.