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Finding the Third Proportional to 32,194.94 and 49,249.31

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Solution

The third proportional to 32,194.94 and 49,249.31 is: 75,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.94 : 49,249.31 = 49,249.31 : x
  2. Step 2: Convert to fraction form
    32,194.94/49,249.31 = 49,249.31/x
  3. Step 3: Cross multiply
    32,194.94x = 49,249.31 × 49,249.31
  4. Step 4: Simplify right side
    32,194.94x = 2,425,494,781.72
  5. Step 5: Solve for x
    x = 2,425,494,781.72/32,194.94
  6. Step 6: Final answer
    x = 75,337.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.