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Finding the Third Proportional to 5,859 and 8,469

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Solution

The third proportional to 5,859 and 8,469 is: 12,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,469 = 8,469 : x
  2. Step 2: Convert to fraction form
    5,859/8,469 = 8,469/x
  3. Step 3: Cross multiply
    5,859x = 8,469 × 8,469
  4. Step 4: Simplify right side
    5,859x = 71,723,961
  5. Step 5: Solve for x
    x = 71,723,961/5,859
  6. Step 6: Final answer
    x = 12,241.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.