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Finding the Third Proportional to 27,200.25 and 57,660.75

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Solution

The third proportional to 27,200.25 and 57,660.75 is: 122,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.25 : 57,660.75 = 57,660.75 : x
  2. Step 2: Convert to fraction form
    27,200.25/57,660.75 = 57,660.75/x
  3. Step 3: Cross multiply
    27,200.25x = 57,660.75 × 57,660.75
  4. Step 4: Simplify right side
    27,200.25x = 3,324,762,090.56
  5. Step 5: Solve for x
    x = 3,324,762,090.56/27,200.25
  6. Step 6: Final answer
    x = 122,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.