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Finding the Third Proportional to 4,190 and 5,799

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Solution

The third proportional to 4,190 and 5,799 is: 8,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 5,799 = 5,799 : x
  2. Step 2: Convert to fraction form
    4,190/5,799 = 5,799/x
  3. Step 3: Cross multiply
    4,190x = 5,799 × 5,799
  4. Step 4: Simplify right side
    4,190x = 33,628,401
  5. Step 5: Solve for x
    x = 33,628,401/4,190
  6. Step 6: Final answer
    x = 8,025.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.