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Finding the Third Proportional to 33,996.38 and 74,041.31

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Solution

The third proportional to 33,996.38 and 74,041.31 is: 161,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996.38 : 74,041.31 = 74,041.31 : x
  2. Step 2: Convert to fraction form
    33,996.38/74,041.31 = 74,041.31/x
  3. Step 3: Cross multiply
    33,996.38x = 74,041.31 × 74,041.31
  4. Step 4: Simplify right side
    33,996.38x = 5,482,115,956.72
  5. Step 5: Solve for x
    x = 5,482,115,956.72/33,996.38
  6. Step 6: Final answer
    x = 161,255.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.