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Finding the Third Proportional to 38,049.75 and 43,993.13

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Solution

The third proportional to 38,049.75 and 43,993.13 is: 50,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.75 : 43,993.13 = 43,993.13 : x
  2. Step 2: Convert to fraction form
    38,049.75/43,993.13 = 43,993.13/x
  3. Step 3: Cross multiply
    38,049.75x = 43,993.13 × 43,993.13
  4. Step 4: Simplify right side
    38,049.75x = 1,935,395,047.27
  5. Step 5: Solve for x
    x = 1,935,395,047.27/38,049.75
  6. Step 6: Final answer
    x = 50,864.86

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.