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Finding the Third Proportional to 17,625 and 25,059

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Solution

The third proportional to 17,625 and 25,059 is: 35,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625 : 25,059 = 25,059 : x
  2. Step 2: Convert to fraction form
    17,625/25,059 = 25,059/x
  3. Step 3: Cross multiply
    17,625x = 25,059 × 25,059
  4. Step 4: Simplify right side
    17,625x = 627,953,481
  5. Step 5: Solve for x
    x = 627,953,481/17,625
  6. Step 6: Final answer
    x = 35,628.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.