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Finding the Third Proportional to 33,617.12 and 73,148.64

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Solution

The third proportional to 33,617.12 and 73,148.64 is: 159,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617.12 : 73,148.64 = 73,148.64 : x
  2. Step 2: Convert to fraction form
    33,617.12/73,148.64 = 73,148.64/x
  3. Step 3: Cross multiply
    33,617.12x = 73,148.64 × 73,148.64
  4. Step 4: Simplify right side
    33,617.12x = 5,350,722,946.66
  5. Step 5: Solve for x
    x = 5,350,722,946.66/33,617.12
  6. Step 6: Final answer
    x = 159,166.63

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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.