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Finding the Third Proportional to 33,998.06 and 73,018.13

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Solution

The third proportional to 33,998.06 and 73,018.13 is: 156,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.06 : 73,018.13 = 73,018.13 : x
  2. Step 2: Convert to fraction form
    33,998.06/73,018.13 = 73,018.13/x
  3. Step 3: Cross multiply
    33,998.06x = 73,018.13 × 73,018.13
  4. Step 4: Simplify right side
    33,998.06x = 5,331,646,578.52
  5. Step 5: Solve for x
    x = 5,331,646,578.52/33,998.06
  6. Step 6: Final answer
    x = 156,822.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.