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Finding the Third Proportional to 17,939 and 25,625

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Solution

The third proportional to 17,939 and 25,625 is: 36,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,939 : 25,625 = 25,625 : x
  2. Step 2: Convert to fraction form
    17,939/25,625 = 25,625/x
  3. Step 3: Cross multiply
    17,939x = 25,625 × 25,625
  4. Step 4: Simplify right side
    17,939x = 656,640,625
  5. Step 5: Solve for x
    x = 656,640,625/17,939
  6. Step 6: Final answer
    x = 36,604.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.