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Finding the Third Proportional to 17,930.25 and 25,206.75

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Solution

The third proportional to 17,930.25 and 25,206.75 is: 35,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.25 : 25,206.75 = 25,206.75 : x
  2. Step 2: Convert to fraction form
    17,930.25/25,206.75 = 25,206.75/x
  3. Step 3: Cross multiply
    17,930.25x = 25,206.75 × 25,206.75
  4. Step 4: Simplify right side
    17,930.25x = 635,380,245.56
  5. Step 5: Solve for x
    x = 635,380,245.56/17,930.25
  6. Step 6: Final answer
    x = 35,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.