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Finding the Third Proportional to 23,951.16 and 50,382.84

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Solution

The third proportional to 23,951.16 and 50,382.84 is: 105,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,951.16 : 50,382.84 = 50,382.84 : x
  2. Step 2: Convert to fraction form
    23,951.16/50,382.84 = 50,382.84/x
  3. Step 3: Cross multiply
    23,951.16x = 50,382.84 × 50,382.84
  4. Step 4: Simplify right side
    23,951.16x = 2,538,430,944.34
  5. Step 5: Solve for x
    x = 2,538,430,944.34/23,951.16
  6. Step 6: Final answer
    x = 105,983.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.