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Finding the Third Proportional to 5,996 and 8,386

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Solution

The third proportional to 5,996 and 8,386 is: 11,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,386 = 8,386 : x
  2. Step 2: Convert to fraction form
    5,996/8,386 = 8,386/x
  3. Step 3: Cross multiply
    5,996x = 8,386 × 8,386
  4. Step 4: Simplify right side
    5,996x = 70,324,996
  5. Step 5: Solve for x
    x = 70,324,996/5,996
  6. Step 6: Final answer
    x = 11,728.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.