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Finding the Third Proportional to 24,551.86 and 50,137.73

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Solution

The third proportional to 24,551.86 and 50,137.73 is: 102,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.86 : 50,137.73 = 50,137.73 : x
  2. Step 2: Convert to fraction form
    24,551.86/50,137.73 = 50,137.73/x
  3. Step 3: Cross multiply
    24,551.86x = 50,137.73 × 50,137.73
  4. Step 4: Simplify right side
    24,551.86x = 2,513,792,408.26
  5. Step 5: Solve for x
    x = 2,513,792,408.26/24,551.86
  6. Step 6: Final answer
    x = 102,387.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.