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Finding the Third Proportional to 17,571.94 and 25,891.31

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Solution

The third proportional to 17,571.94 and 25,891.31 is: 38,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.94 : 25,891.31 = 25,891.31 : x
  2. Step 2: Convert to fraction form
    17,571.94/25,891.31 = 25,891.31/x
  3. Step 3: Cross multiply
    17,571.94x = 25,891.31 × 25,891.31
  4. Step 4: Simplify right side
    17,571.94x = 670,360,062.97
  5. Step 5: Solve for x
    x = 670,360,062.97/17,571.94
  6. Step 6: Final answer
    x = 38,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.