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Finding the Third Proportional to 17,943.75 and 25,686

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Solution

The third proportional to 17,943.75 and 25,686 is: 36,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943.75 : 25,686 = 25,686 : x
  2. Step 2: Convert to fraction form
    17,943.75/25,686 = 25,686/x
  3. Step 3: Cross multiply
    17,943.75x = 25,686 × 25,686
  4. Step 4: Simplify right side
    17,943.75x = 659,770,596
  5. Step 5: Solve for x
    x = 659,770,596/17,943.75
  6. Step 6: Final answer
    x = 36,768.82

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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.