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Finding the Third Proportional to 33,233.06 and 51,081.19

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Solution

The third proportional to 33,233.06 and 51,081.19 is: 78,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233.06 : 51,081.19 = 51,081.19 : x
  2. Step 2: Convert to fraction form
    33,233.06/51,081.19 = 51,081.19/x
  3. Step 3: Cross multiply
    33,233.06x = 51,081.19 × 51,081.19
  4. Step 4: Simplify right side
    33,233.06x = 2,609,287,716.41
  5. Step 5: Solve for x
    x = 2,609,287,716.41/33,233.06
  6. Step 6: Final answer
    x = 78,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.