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Finding the Third Proportional to 27,061 and 57,857

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Solution

The third proportional to 27,061 and 57,857 is: 123,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,061 : 57,857 = 57,857 : x
  2. Step 2: Convert to fraction form
    27,061/57,857 = 57,857/x
  3. Step 3: Cross multiply
    27,061x = 57,857 × 57,857
  4. Step 4: Simplify right side
    27,061x = 3,347,432,449
  5. Step 5: Solve for x
    x = 3,347,432,449/27,061
  6. Step 6: Final answer
    x = 123,699.51

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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.