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Finding the Third Proportional to 2,975 and 6,031

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Solution

The third proportional to 2,975 and 6,031 is: 12,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975 : 6,031 = 6,031 : x
  2. Step 2: Convert to fraction form
    2,975/6,031 = 6,031/x
  3. Step 3: Cross multiply
    2,975x = 6,031 × 6,031
  4. Step 4: Simplify right side
    2,975x = 36,372,961
  5. Step 5: Solve for x
    x = 36,372,961/2,975
  6. Step 6: Final answer
    x = 12,226.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.