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Finding the Third Proportional to 22,183 and 48,829

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Solution

The third proportional to 22,183 and 48,829 is: 107,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183 : 48,829 = 48,829 : x
  2. Step 2: Convert to fraction form
    22,183/48,829 = 48,829/x
  3. Step 3: Cross multiply
    22,183x = 48,829 × 48,829
  4. Step 4: Simplify right side
    22,183x = 2,384,271,241
  5. Step 5: Solve for x
    x = 2,384,271,241/22,183
  6. Step 6: Final answer
    x = 107,481.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.