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Finding the Third Proportional to 33,812.44 and 74,003.63

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Solution

The third proportional to 33,812.44 and 74,003.63 is: 161,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.44 : 74,003.63 = 74,003.63 : x
  2. Step 2: Convert to fraction form
    33,812.44/74,003.63 = 74,003.63/x
  3. Step 3: Cross multiply
    33,812.44x = 74,003.63 × 74,003.63
  4. Step 4: Simplify right side
    33,812.44x = 5,476,536,513.14
  5. Step 5: Solve for x
    x = 5,476,536,513.14/33,812.44
  6. Step 6: Final answer
    x = 161,968.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.