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Finding the Third Proportional to 37,469.25 and 81,249.75

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Solution

The third proportional to 37,469.25 and 81,249.75 is: 176,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469.25 : 81,249.75 = 81,249.75 : x
  2. Step 2: Convert to fraction form
    37,469.25/81,249.75 = 81,249.75/x
  3. Step 3: Cross multiply
    37,469.25x = 81,249.75 × 81,249.75
  4. Step 4: Simplify right side
    37,469.25x = 6,601,521,875.06
  5. Step 5: Solve for x
    x = 6,601,521,875.06/37,469.25
  6. Step 6: Final answer
    x = 176,185.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.