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Finding the Third Proportional to 23,749.45 and 50,414.91

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Solution

The third proportional to 23,749.45 and 50,414.91 is: 107,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.45 : 50,414.91 = 50,414.91 : x
  2. Step 2: Convert to fraction form
    23,749.45/50,414.91 = 50,414.91/x
  3. Step 3: Cross multiply
    23,749.45x = 50,414.91 × 50,414.91
  4. Step 4: Simplify right side
    23,749.45x = 2,541,662,772.20
  5. Step 5: Solve for x
    x = 2,541,662,772.20/23,749.45
  6. Step 6: Final answer
    x = 107,019.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.