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Finding the Third Proportional to 5,406 and 8,399

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Solution

The third proportional to 5,406 and 8,399 is: 13,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 8,399 = 8,399 : x
  2. Step 2: Convert to fraction form
    5,406/8,399 = 8,399/x
  3. Step 3: Cross multiply
    5,406x = 8,399 × 8,399
  4. Step 4: Simplify right side
    5,406x = 70,543,201
  5. Step 5: Solve for x
    x = 70,543,201/5,406
  6. Step 6: Final answer
    x = 13,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.