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Finding the Third Proportional to 27,059 and 57,853

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Solution

The third proportional to 27,059 and 57,853 is: 123,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059 : 57,853 = 57,853 : x
  2. Step 2: Convert to fraction form
    27,059/57,853 = 57,853/x
  3. Step 3: Cross multiply
    27,059x = 57,853 × 57,853
  4. Step 4: Simplify right side
    27,059x = 3,346,969,609
  5. Step 5: Solve for x
    x = 3,346,969,609/27,059
  6. Step 6: Final answer
    x = 123,691.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.