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Finding the Third Proportional to 3,022 and 7,165

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Solution

The third proportional to 3,022 and 7,165 is: 16,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022 : 7,165 = 7,165 : x
  2. Step 2: Convert to fraction form
    3,022/7,165 = 7,165/x
  3. Step 3: Cross multiply
    3,022x = 7,165 × 7,165
  4. Step 4: Simplify right side
    3,022x = 51,337,225
  5. Step 5: Solve for x
    x = 51,337,225/3,022
  6. Step 6: Final answer
    x = 16,987.83

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.