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Finding the Third Proportional to 2,011 and 3,019

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Solution

The third proportional to 2,011 and 3,019 is: 4,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 3,019 = 3,019 : x
  2. Step 2: Convert to fraction form
    2,011/3,019 = 3,019/x
  3. Step 3: Cross multiply
    2,011x = 3,019 × 3,019
  4. Step 4: Simplify right side
    2,011x = 9,114,361
  5. Step 5: Solve for x
    x = 9,114,361/2,011
  6. Step 6: Final answer
    x = 4,532.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.