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Finding the Third Proportional to 33,933 and 72,372.56

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Solution

The third proportional to 33,933 and 72,372.56 is: 154,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,933 : 72,372.56 = 72,372.56 : x
  2. Step 2: Convert to fraction form
    33,933/72,372.56 = 72,372.56/x
  3. Step 3: Cross multiply
    33,933x = 72,372.56 × 72,372.56
  4. Step 4: Simplify right side
    33,933x = 5,237,787,802.82
  5. Step 5: Solve for x
    x = 5,237,787,802.82/33,933
  6. Step 6: Final answer
    x = 154,356.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.