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Finding the Third Proportional to 2,038 and 4,266

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Solution

The third proportional to 2,038 and 4,266 is: 8,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 4,266 = 4,266 : x
  2. Step 2: Convert to fraction form
    2,038/4,266 = 4,266/x
  3. Step 3: Cross multiply
    2,038x = 4,266 × 4,266
  4. Step 4: Simplify right side
    2,038x = 18,198,756
  5. Step 5: Solve for x
    x = 18,198,756/2,038
  6. Step 6: Final answer
    x = 8,929.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.