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Finding the Third Proportional to 33,957 and 73,752

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Solution

The third proportional to 33,957 and 73,752 is: 160,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957 : 73,752 = 73,752 : x
  2. Step 2: Convert to fraction form
    33,957/73,752 = 73,752/x
  3. Step 3: Cross multiply
    33,957x = 73,752 × 73,752
  4. Step 4: Simplify right side
    33,957x = 5,439,357,504
  5. Step 5: Solve for x
    x = 5,439,357,504/33,957
  6. Step 6: Final answer
    x = 160,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.