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Finding the Third Proportional to 27,285 and 58,749

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Solution

The third proportional to 27,285 and 58,749 is: 126,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285 : 58,749 = 58,749 : x
  2. Step 2: Convert to fraction form
    27,285/58,749 = 58,749/x
  3. Step 3: Cross multiply
    27,285x = 58,749 × 58,749
  4. Step 4: Simplify right side
    27,285x = 3,451,445,001
  5. Step 5: Solve for x
    x = 3,451,445,001/27,285
  6. Step 6: Final answer
    x = 126,496.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.