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Finding the Third Proportional to 10,379 and 16,325

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Solution

The third proportional to 10,379 and 16,325 is: 25,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379 : 16,325 = 16,325 : x
  2. Step 2: Convert to fraction form
    10,379/16,325 = 16,325/x
  3. Step 3: Cross multiply
    10,379x = 16,325 × 16,325
  4. Step 4: Simplify right side
    10,379x = 266,505,625
  5. Step 5: Solve for x
    x = 266,505,625/10,379
  6. Step 6: Final answer
    x = 25,677.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.