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Finding the Third Proportional to 36,286.25 and 54,976.25

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Solution

The third proportional to 36,286.25 and 54,976.25 is: 83,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,286.25 : 54,976.25 = 54,976.25 : x
  2. Step 2: Convert to fraction form
    36,286.25/54,976.25 = 54,976.25/x
  3. Step 3: Cross multiply
    36,286.25x = 54,976.25 × 54,976.25
  4. Step 4: Simplify right side
    36,286.25x = 3,022,388,064.06
  5. Step 5: Solve for x
    x = 3,022,388,064.06/36,286.25
  6. Step 6: Final answer
    x = 83,292.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.