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Finding the Third Proportional to 37,936.69 and 83,100.94

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Solution

The third proportional to 37,936.69 and 83,100.94 is: 182,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936.69 : 83,100.94 = 83,100.94 : x
  2. Step 2: Convert to fraction form
    37,936.69/83,100.94 = 83,100.94/x
  3. Step 3: Cross multiply
    37,936.69x = 83,100.94 × 83,100.94
  4. Step 4: Simplify right side
    37,936.69x = 6,905,765,813.38
  5. Step 5: Solve for x
    x = 6,905,765,813.38/37,936.69
  6. Step 6: Final answer
    x = 182,033.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.