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Finding the Third Proportional to 5,846 and 12,682

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Solution

The third proportional to 5,846 and 12,682 is: 27,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846 : 12,682 = 12,682 : x
  2. Step 2: Convert to fraction form
    5,846/12,682 = 12,682/x
  3. Step 3: Cross multiply
    5,846x = 12,682 × 12,682
  4. Step 4: Simplify right side
    5,846x = 160,833,124
  5. Step 5: Solve for x
    x = 160,833,124/5,846
  6. Step 6: Final answer
    x = 27,511.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.