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Finding the Third Proportional to 3,765 and 5,825

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Solution

The third proportional to 3,765 and 5,825 is: 9,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765 : 5,825 = 5,825 : x
  2. Step 2: Convert to fraction form
    3,765/5,825 = 5,825/x
  3. Step 3: Cross multiply
    3,765x = 5,825 × 5,825
  4. Step 4: Simplify right side
    3,765x = 33,930,625
  5. Step 5: Solve for x
    x = 33,930,625/3,765
  6. Step 6: Final answer
    x = 9,012.12

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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.