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Finding the Third Proportional to 37,839.75 and 81,112.69

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Solution

The third proportional to 37,839.75 and 81,112.69 is: 173,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839.75 : 81,112.69 = 81,112.69 : x
  2. Step 2: Convert to fraction form
    37,839.75/81,112.69 = 81,112.69/x
  3. Step 3: Cross multiply
    37,839.75x = 81,112.69 × 81,112.69
  4. Step 4: Simplify right side
    37,839.75x = 6,579,268,073.47
  5. Step 5: Solve for x
    x = 6,579,268,073.47/37,839.75
  6. Step 6: Final answer
    x = 173,871.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.