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Finding the Third Proportional to 20,238.75 and 30,456.19

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Solution

The third proportional to 20,238.75 and 30,456.19 is: 45,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.75 : 30,456.19 = 30,456.19 : x
  2. Step 2: Convert to fraction form
    20,238.75/30,456.19 = 30,456.19/x
  3. Step 3: Cross multiply
    20,238.75x = 30,456.19 × 30,456.19
  4. Step 4: Simplify right side
    20,238.75x = 927,579,357.04
  5. Step 5: Solve for x
    x = 927,579,357.04/20,238.75
  6. Step 6: Final answer
    x = 45,831.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.