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Finding the Third Proportional to 5,846 and 12,626

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Solution

The third proportional to 5,846 and 12,626 is: 27,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846 : 12,626 = 12,626 : x
  2. Step 2: Convert to fraction form
    5,846/12,626 = 12,626/x
  3. Step 3: Cross multiply
    5,846x = 12,626 × 12,626
  4. Step 4: Simplify right side
    5,846x = 159,415,876
  5. Step 5: Solve for x
    x = 159,415,876/5,846
  6. Step 6: Final answer
    x = 27,269.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.