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Finding the Third Proportional to 5,940 and 8,682

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Solution

The third proportional to 5,940 and 8,682 is: 12,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,682 = 8,682 : x
  2. Step 2: Convert to fraction form
    5,940/8,682 = 8,682/x
  3. Step 3: Cross multiply
    5,940x = 8,682 × 8,682
  4. Step 4: Simplify right side
    5,940x = 75,377,124
  5. Step 5: Solve for x
    x = 75,377,124/5,940
  6. Step 6: Final answer
    x = 12,689.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.