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Finding the Third Proportional to 37,945 and 57,039.75

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Solution

The third proportional to 37,945 and 57,039.75 is: 85,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,945 : 57,039.75 = 57,039.75 : x
  2. Step 2: Convert to fraction form
    37,945/57,039.75 = 57,039.75/x
  3. Step 3: Cross multiply
    37,945x = 57,039.75 × 57,039.75
  4. Step 4: Simplify right side
    37,945x = 3,253,533,080.06
  5. Step 5: Solve for x
    x = 3,253,533,080.06/37,945
  6. Step 6: Final answer
    x = 85,743.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.