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Finding the Third Proportional to 8,013 and 16,419

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Solution

The third proportional to 8,013 and 16,419 is: 33,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013 : 16,419 = 16,419 : x
  2. Step 2: Convert to fraction form
    8,013/16,419 = 16,419/x
  3. Step 3: Cross multiply
    8,013x = 16,419 × 16,419
  4. Step 4: Simplify right side
    8,013x = 269,583,561
  5. Step 5: Solve for x
    x = 269,583,561/8,013
  6. Step 6: Final answer
    x = 33,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.