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Finding the Third Proportional to 3,031 and 3,571

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Solution

The third proportional to 3,031 and 3,571 is: 4,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031 : 3,571 = 3,571 : x
  2. Step 2: Convert to fraction form
    3,031/3,571 = 3,571/x
  3. Step 3: Cross multiply
    3,031x = 3,571 × 3,571
  4. Step 4: Simplify right side
    3,031x = 12,752,041
  5. Step 5: Solve for x
    x = 12,752,041/3,031
  6. Step 6: Final answer
    x = 4,207.21

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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.