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Finding the Third Proportional to 27,831.50 and 54,269.75

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Solution

The third proportional to 27,831.50 and 54,269.75 is: 105,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.50 : 54,269.75 = 54,269.75 : x
  2. Step 2: Convert to fraction form
    27,831.50/54,269.75 = 54,269.75/x
  3. Step 3: Cross multiply
    27,831.50x = 54,269.75 × 54,269.75
  4. Step 4: Simplify right side
    27,831.50x = 2,945,205,765.06
  5. Step 5: Solve for x
    x = 2,945,205,765.06/27,831.50
  6. Step 6: Final answer
    x = 105,822.75

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.