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Finding the Third Proportional to 3,765 and 7,782

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Solution

The third proportional to 3,765 and 7,782 is: 16,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765 : 7,782 = 7,782 : x
  2. Step 2: Convert to fraction form
    3,765/7,782 = 7,782/x
  3. Step 3: Cross multiply
    3,765x = 7,782 × 7,782
  4. Step 4: Simplify right side
    3,765x = 60,559,524
  5. Step 5: Solve for x
    x = 60,559,524/3,765
  6. Step 6: Final answer
    x = 16,084.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.