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Finding the Third Proportional to 16,982 and 36,578

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Solution

The third proportional to 16,982 and 36,578 is: 78,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982 : 36,578 = 36,578 : x
  2. Step 2: Convert to fraction form
    16,982/36,578 = 36,578/x
  3. Step 3: Cross multiply
    16,982x = 36,578 × 36,578
  4. Step 4: Simplify right side
    16,982x = 1,337,950,084
  5. Step 5: Solve for x
    x = 1,337,950,084/16,982
  6. Step 6: Final answer
    x = 78,786.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.