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Finding the Third Proportional to 27,055 and 57,845

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Solution

The third proportional to 27,055 and 57,845 is: 123,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055 : 57,845 = 57,845 : x
  2. Step 2: Convert to fraction form
    27,055/57,845 = 57,845/x
  3. Step 3: Cross multiply
    27,055x = 57,845 × 57,845
  4. Step 4: Simplify right side
    27,055x = 3,346,044,025
  5. Step 5: Solve for x
    x = 3,346,044,025/27,055
  6. Step 6: Final answer
    x = 123,675.62

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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.