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Finding the Third Proportional to 37,404 and 57,660.75

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Solution

The third proportional to 37,404 and 57,660.75 is: 88,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,404 : 57,660.75 = 57,660.75 : x
  2. Step 2: Convert to fraction form
    37,404/57,660.75 = 57,660.75/x
  3. Step 3: Cross multiply
    37,404x = 57,660.75 × 57,660.75
  4. Step 4: Simplify right side
    37,404x = 3,324,762,090.56
  5. Step 5: Solve for x
    x = 3,324,762,090.56/37,404
  6. Step 6: Final answer
    x = 88,887.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.