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Finding the Third Proportional to 27,857 and 58,447

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Solution

The third proportional to 27,857 and 58,447 is: 122,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857 : 58,447 = 58,447 : x
  2. Step 2: Convert to fraction form
    27,857/58,447 = 58,447/x
  3. Step 3: Cross multiply
    27,857x = 58,447 × 58,447
  4. Step 4: Simplify right side
    27,857x = 3,416,051,809
  5. Step 5: Solve for x
    x = 3,416,051,809/27,857
  6. Step 6: Final answer
    x = 122,628.13

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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.