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Finding the Third Proportional to 37,034.25 and 87,369.94

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Solution

The third proportional to 37,034.25 and 87,369.94 is: 206,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034.25 : 87,369.94 = 87,369.94 : x
  2. Step 2: Convert to fraction form
    37,034.25/87,369.94 = 87,369.94/x
  3. Step 3: Cross multiply
    37,034.25x = 87,369.94 × 87,369.94
  4. Step 4: Simplify right side
    37,034.25x = 7,633,505,978.75
  5. Step 5: Solve for x
    x = 7,633,505,978.75/37,034.25
  6. Step 6: Final answer
    x = 206,120.17

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.