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Finding the Third Proportional to 33,945.75 and 74,589.19

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Solution

The third proportional to 33,945.75 and 74,589.19 is: 163,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.75 : 74,589.19 = 74,589.19 : x
  2. Step 2: Convert to fraction form
    33,945.75/74,589.19 = 74,589.19/x
  3. Step 3: Cross multiply
    33,945.75x = 74,589.19 × 74,589.19
  4. Step 4: Simplify right side
    33,945.75x = 5,563,546,891.91
  5. Step 5: Solve for x
    x = 5,563,546,891.91/33,945.75
  6. Step 6: Final answer
    x = 163,895.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.