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Finding the Third Proportional to 33,647.91 and 50,471.86

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Solution

The third proportional to 33,647.91 and 50,471.86 is: 75,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.91 : 50,471.86 = 50,471.86 : x
  2. Step 2: Convert to fraction form
    33,647.91/50,471.86 = 50,471.86/x
  3. Step 3: Cross multiply
    33,647.91x = 50,471.86 × 50,471.86
  4. Step 4: Simplify right side
    33,647.91x = 2,547,408,588.77
  5. Step 5: Solve for x
    x = 2,547,408,588.77/33,647.91
  6. Step 6: Final answer
    x = 75,707.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.