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Finding the Third Proportional to 37,674.75 and 58,789.13

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Solution

The third proportional to 37,674.75 and 58,789.13 is: 91,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674.75 : 58,789.13 = 58,789.13 : x
  2. Step 2: Convert to fraction form
    37,674.75/58,789.13 = 58,789.13/x
  3. Step 3: Cross multiply
    37,674.75x = 58,789.13 × 58,789.13
  4. Step 4: Simplify right side
    37,674.75x = 3,456,161,218.27
  5. Step 5: Solve for x
    x = 3,456,161,218.27/37,674.75
  6. Step 6: Final answer
    x = 91,736.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.