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Finding the Third Proportional to 33,249.23 and 52,641.77

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Solution

The third proportional to 33,249.23 and 52,641.77 is: 83,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249.23 : 52,641.77 = 52,641.77 : x
  2. Step 2: Convert to fraction form
    33,249.23/52,641.77 = 52,641.77/x
  3. Step 3: Cross multiply
    33,249.23x = 52,641.77 × 52,641.77
  4. Step 4: Simplify right side
    33,249.23x = 2,771,156,310.65
  5. Step 5: Solve for x
    x = 2,771,156,310.65/33,249.23
  6. Step 6: Final answer
    x = 83,344.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.