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Finding the Third Proportional to 3,022 and 3,571

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Solution

The third proportional to 3,022 and 3,571 is: 4,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022 : 3,571 = 3,571 : x
  2. Step 2: Convert to fraction form
    3,022/3,571 = 3,571/x
  3. Step 3: Cross multiply
    3,022x = 3,571 × 3,571
  4. Step 4: Simplify right side
    3,022x = 12,752,041
  5. Step 5: Solve for x
    x = 12,752,041/3,022
  6. Step 6: Final answer
    x = 4,219.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.