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Finding the Third Proportional to 33,412.92 and 44,165.88

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Solution

The third proportional to 33,412.92 and 44,165.88 is: 58,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.92 : 44,165.88 = 44,165.88 : x
  2. Step 2: Convert to fraction form
    33,412.92/44,165.88 = 44,165.88/x
  3. Step 3: Cross multiply
    33,412.92x = 44,165.88 × 44,165.88
  4. Step 4: Simplify right side
    33,412.92x = 1,950,625,204.61
  5. Step 5: Solve for x
    x = 1,950,625,204.61/33,412.92
  6. Step 6: Final answer
    x = 58,379.37

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.