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Finding the Third Proportional to 33,653.31 and 73,418.69

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Solution

The third proportional to 33,653.31 and 73,418.69 is: 160,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.31 : 73,418.69 = 73,418.69 : x
  2. Step 2: Convert to fraction form
    33,653.31/73,418.69 = 73,418.69/x
  3. Step 3: Cross multiply
    33,653.31x = 73,418.69 × 73,418.69
  4. Step 4: Simplify right side
    33,653.31x = 5,390,303,674.22
  5. Step 5: Solve for x
    x = 5,390,303,674.22/33,653.31
  6. Step 6: Final answer
    x = 160,171.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.