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Finding the Third Proportional to 23,424.82 and 35,615.64

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Solution

The third proportional to 23,424.82 and 35,615.64 is: 54,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.82 : 35,615.64 = 35,615.64 : x
  2. Step 2: Convert to fraction form
    23,424.82/35,615.64 = 35,615.64/x
  3. Step 3: Cross multiply
    23,424.82x = 35,615.64 × 35,615.64
  4. Step 4: Simplify right side
    23,424.82x = 1,268,473,578.88
  5. Step 5: Solve for x
    x = 1,268,473,578.88/23,424.82
  6. Step 6: Final answer
    x = 54,150.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.