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Finding the Third Proportional to 20,183 and 44,376

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Solution

The third proportional to 20,183 and 44,376 is: 97,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 44,376 = 44,376 : x
  2. Step 2: Convert to fraction form
    20,183/44,376 = 44,376/x
  3. Step 3: Cross multiply
    20,183x = 44,376 × 44,376
  4. Step 4: Simplify right side
    20,183x = 1,969,229,376
  5. Step 5: Solve for x
    x = 1,969,229,376/20,183
  6. Step 6: Final answer
    x = 97,568.72

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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.