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Finding the Third Proportional to 23,162 and 48,876

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Solution

The third proportional to 23,162 and 48,876 is: 103,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162 : 48,876 = 48,876 : x
  2. Step 2: Convert to fraction form
    23,162/48,876 = 48,876/x
  3. Step 3: Cross multiply
    23,162x = 48,876 × 48,876
  4. Step 4: Simplify right side
    23,162x = 2,388,863,376
  5. Step 5: Solve for x
    x = 2,388,863,376/23,162
  6. Step 6: Final answer
    x = 103,137.18

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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.