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Finding the Third Proportional to 27,934 and 58,622

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Solution

The third proportional to 27,934 and 58,622 is: 123,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934 : 58,622 = 58,622 : x
  2. Step 2: Convert to fraction form
    27,934/58,622 = 58,622/x
  3. Step 3: Cross multiply
    27,934x = 58,622 × 58,622
  4. Step 4: Simplify right side
    27,934x = 3,436,538,884
  5. Step 5: Solve for x
    x = 3,436,538,884/27,934
  6. Step 6: Final answer
    x = 123,023.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.