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Finding the Third Proportional to 23,763.38 and 50,584.50

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Solution

The third proportional to 23,763.38 and 50,584.50 is: 107,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.38 : 50,584.50 = 50,584.50 : x
  2. Step 2: Convert to fraction form
    23,763.38/50,584.50 = 50,584.50/x
  3. Step 3: Cross multiply
    23,763.38x = 50,584.50 × 50,584.50
  4. Step 4: Simplify right side
    23,763.38x = 2,558,791,640.25
  5. Step 5: Solve for x
    x = 2,558,791,640.25/23,763.38
  6. Step 6: Final answer
    x = 107,677.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.