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Finding the Third Proportional to 27,049.50 and 57,998.25

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Solution

The third proportional to 27,049.50 and 57,998.25 is: 124,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.50 : 57,998.25 = 57,998.25 : x
  2. Step 2: Convert to fraction form
    27,049.50/57,998.25 = 57,998.25/x
  3. Step 3: Cross multiply
    27,049.50x = 57,998.25 × 57,998.25
  4. Step 4: Simplify right side
    27,049.50x = 3,363,797,003.06
  5. Step 5: Solve for x
    x = 3,363,797,003.06/27,049.50
  6. Step 6: Final answer
    x = 124,357.09

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