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Finding the Third Proportional to 33,739.66 and 73,835.30

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Solution

The third proportional to 33,739.66 and 73,835.30 is: 161,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739.66 : 73,835.30 = 73,835.30 : x
  2. Step 2: Convert to fraction form
    33,739.66/73,835.30 = 73,835.30/x
  3. Step 3: Cross multiply
    33,739.66x = 73,835.30 × 73,835.30
  4. Step 4: Simplify right side
    33,739.66x = 5,451,651,064.62
  5. Step 5: Solve for x
    x = 5,451,651,064.62/33,739.66
  6. Step 6: Final answer
    x = 161,579.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.