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Finding the Third Proportional to 27,596 and 57,692

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Solution

The third proportional to 27,596 and 57,692 is: 120,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596 : 57,692 = 57,692 : x
  2. Step 2: Convert to fraction form
    27,596/57,692 = 57,692/x
  3. Step 3: Cross multiply
    27,596x = 57,692 × 57,692
  4. Step 4: Simplify right side
    27,596x = 3,328,366,864
  5. Step 5: Solve for x
    x = 3,328,366,864/27,596
  6. Step 6: Final answer
    x = 120,610.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.