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Finding the Third Proportional to 37,201.78 and 59,914.69

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Solution

The third proportional to 37,201.78 and 59,914.69 is: 96,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.78 : 59,914.69 = 59,914.69 : x
  2. Step 2: Convert to fraction form
    37,201.78/59,914.69 = 59,914.69/x
  3. Step 3: Cross multiply
    37,201.78x = 59,914.69 × 59,914.69
  4. Step 4: Simplify right side
    37,201.78x = 3,589,769,778.22
  5. Step 5: Solve for x
    x = 3,589,769,778.22/37,201.78
  6. Step 6: Final answer
    x = 96,494.57

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.