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Finding the Third Proportional to 27,858 and 58,449

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Solution

The third proportional to 27,858 and 58,449 is: 122,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 58,449 = 58,449 : x
  2. Step 2: Convert to fraction form
    27,858/58,449 = 58,449/x
  3. Step 3: Cross multiply
    27,858x = 58,449 × 58,449
  4. Step 4: Simplify right side
    27,858x = 3,416,285,601
  5. Step 5: Solve for x
    x = 3,416,285,601/27,858
  6. Step 6: Final answer
    x = 122,632.12

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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.