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Finding the Third Proportional to 5,638 and 8,120

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Solution

The third proportional to 5,638 and 8,120 is: 11,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638 : 8,120 = 8,120 : x
  2. Step 2: Convert to fraction form
    5,638/8,120 = 8,120/x
  3. Step 3: Cross multiply
    5,638x = 8,120 × 8,120
  4. Step 4: Simplify right side
    5,638x = 65,934,400
  5. Step 5: Solve for x
    x = 65,934,400/5,638
  6. Step 6: Final answer
    x = 11,694.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.