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Finding the Third Proportional to 3,455 and 6,019

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Solution

The third proportional to 3,455 and 6,019 is: 10,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455 : 6,019 = 6,019 : x
  2. Step 2: Convert to fraction form
    3,455/6,019 = 6,019/x
  3. Step 3: Cross multiply
    3,455x = 6,019 × 6,019
  4. Step 4: Simplify right side
    3,455x = 36,228,361
  5. Step 5: Solve for x
    x = 36,228,361/3,455
  6. Step 6: Final answer
    x = 10,485.78

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.