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Finding the Third Proportional to 3,021 and 4,065

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Solution

The third proportional to 3,021 and 4,065 is: 5,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,065 = 4,065 : x
  2. Step 2: Convert to fraction form
    3,021/4,065 = 4,065/x
  3. Step 3: Cross multiply
    3,021x = 4,065 × 4,065
  4. Step 4: Simplify right side
    3,021x = 16,524,225
  5. Step 5: Solve for x
    x = 16,524,225/3,021
  6. Step 6: Final answer
    x = 5,469.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.