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Finding the Third Proportional to 27,285 and 57,322

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Solution

The third proportional to 27,285 and 57,322 is: 120,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285 : 57,322 = 57,322 : x
  2. Step 2: Convert to fraction form
    27,285/57,322 = 57,322/x
  3. Step 3: Cross multiply
    27,285x = 57,322 × 57,322
  4. Step 4: Simplify right side
    27,285x = 3,285,811,684
  5. Step 5: Solve for x
    x = 3,285,811,684/27,285
  6. Step 6: Final answer
    x = 120,425.57

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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.