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Finding the Third Proportional to 37,910.25 and 57,783.38

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Solution

The third proportional to 37,910.25 and 57,783.38 is: 88,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,910.25 : 57,783.38 = 57,783.38 : x
  2. Step 2: Convert to fraction form
    37,910.25/57,783.38 = 57,783.38/x
  3. Step 3: Cross multiply
    37,910.25x = 57,783.38 × 57,783.38
  4. Step 4: Simplify right side
    37,910.25x = 3,338,918,426.39
  5. Step 5: Solve for x
    x = 3,338,918,426.39/37,910.25
  6. Step 6: Final answer
    x = 88,074.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.