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Finding the Third Proportional to 2,275 and 3,571

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Solution

The third proportional to 2,275 and 3,571 is: 5,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275 : 3,571 = 3,571 : x
  2. Step 2: Convert to fraction form
    2,275/3,571 = 3,571/x
  3. Step 3: Cross multiply
    2,275x = 3,571 × 3,571
  4. Step 4: Simplify right side
    2,275x = 12,752,041
  5. Step 5: Solve for x
    x = 12,752,041/2,275
  6. Step 6: Final answer
    x = 5,605.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.