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Finding the Third Proportional to 36,613.27 and 74,244.09

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Solution

The third proportional to 36,613.27 and 74,244.09 is: 150,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,613.27 : 74,244.09 = 74,244.09 : x
  2. Step 2: Convert to fraction form
    36,613.27/74,244.09 = 74,244.09/x
  3. Step 3: Cross multiply
    36,613.27x = 74,244.09 × 74,244.09
  4. Step 4: Simplify right side
    36,613.27x = 5,512,185,456.76
  5. Step 5: Solve for x
    x = 5,512,185,456.76/36,613.27
  6. Step 6: Final answer
    x = 150,551.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.