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Finding the Third Proportional to 27,659.25 and 59,262.75

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Solution

The third proportional to 27,659.25 and 59,262.75 is: 126,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.25 : 59,262.75 = 59,262.75 : x
  2. Step 2: Convert to fraction form
    27,659.25/59,262.75 = 59,262.75/x
  3. Step 3: Cross multiply
    27,659.25x = 59,262.75 × 59,262.75
  4. Step 4: Simplify right side
    27,659.25x = 3,512,073,537.56
  5. Step 5: Solve for x
    x = 3,512,073,537.56/27,659.25
  6. Step 6: Final answer
    x = 126,976.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.