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Finding the Third Proportional to 27,206 and 57,384

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Solution

The third proportional to 27,206 and 57,384 is: 121,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206 : 57,384 = 57,384 : x
  2. Step 2: Convert to fraction form
    27,206/57,384 = 57,384/x
  3. Step 3: Cross multiply
    27,206x = 57,384 × 57,384
  4. Step 4: Simplify right side
    27,206x = 3,292,923,456
  5. Step 5: Solve for x
    x = 3,292,923,456/27,206
  6. Step 6: Final answer
    x = 121,036.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.