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Finding the Third Proportional to 16,367 and 25,027

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Solution

The third proportional to 16,367 and 25,027 is: 38,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367 : 25,027 = 25,027 : x
  2. Step 2: Convert to fraction form
    16,367/25,027 = 25,027/x
  3. Step 3: Cross multiply
    16,367x = 25,027 × 25,027
  4. Step 4: Simplify right side
    16,367x = 626,350,729
  5. Step 5: Solve for x
    x = 626,350,729/16,367
  6. Step 6: Final answer
    x = 38,269.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.