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Finding the Third Proportional to 939 and 2,000

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Solution

The third proportional to 939 and 2,000 is: 4,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939 : 2,000 = 2,000 : x
  2. Step 2: Convert to fraction form
    939/2,000 = 2,000/x
  3. Step 3: Cross multiply
    939x = 2,000 × 2,000
  4. Step 4: Simplify right side
    939x = 4,000,000
  5. Step 5: Solve for x
    x = 4,000,000/939
  6. Step 6: Final answer
    x = 4,259.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.