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Finding the Third Proportional to 1,947 and 3,982

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Solution

The third proportional to 1,947 and 3,982 is: 8,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947 : 3,982 = 3,982 : x
  2. Step 2: Convert to fraction form
    1,947/3,982 = 3,982/x
  3. Step 3: Cross multiply
    1,947x = 3,982 × 3,982
  4. Step 4: Simplify right side
    1,947x = 15,856,324
  5. Step 5: Solve for x
    x = 15,856,324/1,947
  6. Step 6: Final answer
    x = 8,143.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.