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Finding the Third Proportional to 12,392.25 and 17,759.25

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Solution

The third proportional to 12,392.25 and 17,759.25 is: 25,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.25 : 17,759.25 = 17,759.25 : x
  2. Step 2: Convert to fraction form
    12,392.25/17,759.25 = 17,759.25/x
  3. Step 3: Cross multiply
    12,392.25x = 17,759.25 × 17,759.25
  4. Step 4: Simplify right side
    12,392.25x = 315,390,960.56
  5. Step 5: Solve for x
    x = 315,390,960.56/12,392.25
  6. Step 6: Final answer
    x = 25,450.66

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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.