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Finding the Third Proportional to 27,676.13 and 57,321.56

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Solution

The third proportional to 27,676.13 and 57,321.56 is: 118,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.13 : 57,321.56 = 57,321.56 : x
  2. Step 2: Convert to fraction form
    27,676.13/57,321.56 = 57,321.56/x
  3. Step 3: Cross multiply
    27,676.13x = 57,321.56 × 57,321.56
  4. Step 4: Simplify right side
    27,676.13x = 3,285,761,527.44
  5. Step 5: Solve for x
    x = 3,285,761,527.44/27,676.13
  6. Step 6: Final answer
    x = 118,721.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.