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Finding the Third Proportional to 33,924.38 and 74,615.63

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Solution

The third proportional to 33,924.38 and 74,615.63 is: 164,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924.38 : 74,615.63 = 74,615.63 : x
  2. Step 2: Convert to fraction form
    33,924.38/74,615.63 = 74,615.63/x
  3. Step 3: Cross multiply
    33,924.38x = 74,615.63 × 74,615.63
  4. Step 4: Simplify right side
    33,924.38x = 5,567,491,494.14
  5. Step 5: Solve for x
    x = 5,567,491,494.14/33,924.38
  6. Step 6: Final answer
    x = 164,114.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.