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Finding the Third Proportional to 12,571.94 and 18,640.25

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Solution

The third proportional to 12,571.94 and 18,640.25 is: 27,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.94 : 18,640.25 = 18,640.25 : x
  2. Step 2: Convert to fraction form
    12,571.94/18,640.25 = 18,640.25/x
  3. Step 3: Cross multiply
    12,571.94x = 18,640.25 × 18,640.25
  4. Step 4: Simplify right side
    12,571.94x = 347,458,920.06
  5. Step 5: Solve for x
    x = 347,458,920.06/12,571.94
  6. Step 6: Final answer
    x = 27,637.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.