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Finding the Third Proportional to 3,419 and 8,087

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Solution

The third proportional to 3,419 and 8,087 is: 19,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 8,087 = 8,087 : x
  2. Step 2: Convert to fraction form
    3,419/8,087 = 8,087/x
  3. Step 3: Cross multiply
    3,419x = 8,087 × 8,087
  4. Step 4: Simplify right side
    3,419x = 65,399,569
  5. Step 5: Solve for x
    x = 65,399,569/3,419
  6. Step 6: Final answer
    x = 19,128.27

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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.