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Finding the Third Proportional to 2,012 and 3,181

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Solution

The third proportional to 2,012 and 3,181 is: 5,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012 : 3,181 = 3,181 : x
  2. Step 2: Convert to fraction form
    2,012/3,181 = 3,181/x
  3. Step 3: Cross multiply
    2,012x = 3,181 × 3,181
  4. Step 4: Simplify right side
    2,012x = 10,118,761
  5. Step 5: Solve for x
    x = 10,118,761/2,012
  6. Step 6: Final answer
    x = 5,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.