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Finding the Third Proportional to 24,823 and 50,366

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Solution

The third proportional to 24,823 and 50,366 is: 102,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823 : 50,366 = 50,366 : x
  2. Step 2: Convert to fraction form
    24,823/50,366 = 50,366/x
  3. Step 3: Cross multiply
    24,823x = 50,366 × 50,366
  4. Step 4: Simplify right side
    24,823x = 2,536,733,956
  5. Step 5: Solve for x
    x = 2,536,733,956/24,823
  6. Step 6: Final answer
    x = 102,192.88

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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.