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Finding the Third Proportional to 27,173.25 and 31,273.88

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Solution

The third proportional to 27,173.25 and 31,273.88 is: 35,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,173.25 : 31,273.88 = 31,273.88 : x
  2. Step 2: Convert to fraction form
    27,173.25/31,273.88 = 31,273.88/x
  3. Step 3: Cross multiply
    27,173.25x = 31,273.88 × 31,273.88
  4. Step 4: Simplify right side
    27,173.25x = 978,055,257.52
  5. Step 5: Solve for x
    x = 978,055,257.52/27,173.25
  6. Step 6: Final answer
    x = 35,993.31

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.