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Finding the Third Proportional to 3,802 and 5,885

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Solution

The third proportional to 3,802 and 5,885 is: 9,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802 : 5,885 = 5,885 : x
  2. Step 2: Convert to fraction form
    3,802/5,885 = 5,885/x
  3. Step 3: Cross multiply
    3,802x = 5,885 × 5,885
  4. Step 4: Simplify right side
    3,802x = 34,633,225
  5. Step 5: Solve for x
    x = 34,633,225/3,802
  6. Step 6: Final answer
    x = 9,109.21

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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.