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Finding the Third Proportional to 33,969.56 and 73,792.13

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Solution

The third proportional to 33,969.56 and 73,792.13 is: 160,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.56 : 73,792.13 = 73,792.13 : x
  2. Step 2: Convert to fraction form
    33,969.56/73,792.13 = 73,792.13/x
  3. Step 3: Cross multiply
    33,969.56x = 73,792.13 × 73,792.13
  4. Step 4: Simplify right side
    33,969.56x = 5,445,277,712.02
  5. Step 5: Solve for x
    x = 5,445,277,712.02/33,969.56
  6. Step 6: Final answer
    x = 160,298.73

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