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Finding the Third Proportional to 3,411 and 6,921

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Solution

The third proportional to 3,411 and 6,921 is: 14,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 6,921 = 6,921 : x
  2. Step 2: Convert to fraction form
    3,411/6,921 = 6,921/x
  3. Step 3: Cross multiply
    3,411x = 6,921 × 6,921
  4. Step 4: Simplify right side
    3,411x = 47,900,241
  5. Step 5: Solve for x
    x = 47,900,241/3,411
  6. Step 6: Final answer
    x = 14,042.87

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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.