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Finding the Third Proportional to 5,714 and 9,198

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Solution

The third proportional to 5,714 and 9,198 is: 14,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714 : 9,198 = 9,198 : x
  2. Step 2: Convert to fraction form
    5,714/9,198 = 9,198/x
  3. Step 3: Cross multiply
    5,714x = 9,198 × 9,198
  4. Step 4: Simplify right side
    5,714x = 84,603,204
  5. Step 5: Solve for x
    x = 84,603,204/5,714
  6. Step 6: Final answer
    x = 14,806.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.