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Finding the Third Proportional to 4,037 and 9,019

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Solution

The third proportional to 4,037 and 9,019 is: 20,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037 : 9,019 = 9,019 : x
  2. Step 2: Convert to fraction form
    4,037/9,019 = 9,019/x
  3. Step 3: Cross multiply
    4,037x = 9,019 × 9,019
  4. Step 4: Simplify right side
    4,037x = 81,342,361
  5. Step 5: Solve for x
    x = 81,342,361/4,037
  6. Step 6: Final answer
    x = 20,149.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.