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Finding the Third Proportional to 33,921 and 73,870

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Solution

The third proportional to 33,921 and 73,870 is: 160,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,921 : 73,870 = 73,870 : x
  2. Step 2: Convert to fraction form
    33,921/73,870 = 73,870/x
  3. Step 3: Cross multiply
    33,921x = 73,870 × 73,870
  4. Step 4: Simplify right side
    33,921x = 5,456,776,900
  5. Step 5: Solve for x
    x = 5,456,776,900/33,921
  6. Step 6: Final answer
    x = 160,867.22

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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.