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Finding the Third Proportional to 33,898.50 and 50,155.77

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Solution

The third proportional to 33,898.50 and 50,155.77 is: 74,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 50,155.77 = 50,155.77 : x
  2. Step 2: Convert to fraction form
    33,898.50/50,155.77 = 50,155.77/x
  3. Step 3: Cross multiply
    33,898.50x = 50,155.77 × 50,155.77
  4. Step 4: Simplify right side
    33,898.50x = 2,515,601,217.27
  5. Step 5: Solve for x
    x = 2,515,601,217.27/33,898.50
  6. Step 6: Final answer
    x = 74,209.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.