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Finding the Third Proportional to 33,976.92 and 72,327.84

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Solution

The third proportional to 33,976.92 and 72,327.84 is: 153,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.92 : 72,327.84 = 72,327.84 : x
  2. Step 2: Convert to fraction form
    33,976.92/72,327.84 = 72,327.84/x
  3. Step 3: Cross multiply
    33,976.92x = 72,327.84 × 72,327.84
  4. Step 4: Simplify right side
    33,976.92x = 5,231,316,981.52
  5. Step 5: Solve for x
    x = 5,231,316,981.52/33,976.92
  6. Step 6: Final answer
    x = 153,966.77

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