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Finding the Third Proportional to 5,638 and 8,369

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Solution

The third proportional to 5,638 and 8,369 is: 12,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 8,369 = 8,369 : x
  2. Step 2: Convert to fraction form
    5,638/8,369 = 8,369/x
  3. Step 3: Cross multiply
    5,638x = 8,369 × 8,369
  4. Step 4: Simplify right side
    5,638x = 70,040,161
  5. Step 5: Solve for x
    x = 70,040,161/5,638
  6. Step 6: Final answer
    x = 12,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.