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Finding the Third Proportional to 39,193 and 55,849.50

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Solution

The third proportional to 39,193 and 55,849.50 is: 79,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,193 : 55,849.50 = 55,849.50 : x
  2. Step 2: Convert to fraction form
    39,193/55,849.50 = 55,849.50/x
  3. Step 3: Cross multiply
    39,193x = 55,849.50 × 55,849.50
  4. Step 4: Simplify right side
    39,193x = 3,119,166,650.25
  5. Step 5: Solve for x
    x = 3,119,166,650.25/39,193
  6. Step 6: Final answer
    x = 79,584.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.