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Finding the Third Proportional to 37,086.75 and 57,530.25

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Solution

The third proportional to 37,086.75 and 57,530.25 is: 89,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086.75 : 57,530.25 = 57,530.25 : x
  2. Step 2: Convert to fraction form
    37,086.75/57,530.25 = 57,530.25/x
  3. Step 3: Cross multiply
    37,086.75x = 57,530.25 × 57,530.25
  4. Step 4: Simplify right side
    37,086.75x = 3,309,729,665.06
  5. Step 5: Solve for x
    x = 3,309,729,665.06/37,086.75
  6. Step 6: Final answer
    x = 89,242.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.