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Finding the Third Proportional to 27,285 and 57,324

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Solution

The third proportional to 27,285 and 57,324 is: 120,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285 : 57,324 = 57,324 : x
  2. Step 2: Convert to fraction form
    27,285/57,324 = 57,324/x
  3. Step 3: Cross multiply
    27,285x = 57,324 × 57,324
  4. Step 4: Simplify right side
    27,285x = 3,286,040,976
  5. Step 5: Solve for x
    x = 3,286,040,976/27,285
  6. Step 6: Final answer
    x = 120,433.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.