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Finding the Third Proportional to 33,714 and 73,909

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Solution

The third proportional to 33,714 and 73,909 is: 162,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714 : 73,909 = 73,909 : x
  2. Step 2: Convert to fraction form
    33,714/73,909 = 73,909/x
  3. Step 3: Cross multiply
    33,714x = 73,909 × 73,909
  4. Step 4: Simplify right side
    33,714x = 5,462,540,281
  5. Step 5: Solve for x
    x = 5,462,540,281/33,714
  6. Step 6: Final answer
    x = 162,025.87

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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.