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Finding the Third Proportional to 17,379 and 36,671

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Solution

The third proportional to 17,379 and 36,671 is: 77,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,379 : 36,671 = 36,671 : x
  2. Step 2: Convert to fraction form
    17,379/36,671 = 36,671/x
  3. Step 3: Cross multiply
    17,379x = 36,671 × 36,671
  4. Step 4: Simplify right side
    17,379x = 1,344,762,241
  5. Step 5: Solve for x
    x = 1,344,762,241/17,379
  6. Step 6: Final answer
    x = 77,378.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.