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Finding the Third Proportional to 16,964.44 and 23,464.69

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Solution

The third proportional to 16,964.44 and 23,464.69 is: 32,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.44 : 23,464.69 = 23,464.69 : x
  2. Step 2: Convert to fraction form
    16,964.44/23,464.69 = 23,464.69/x
  3. Step 3: Cross multiply
    16,964.44x = 23,464.69 × 23,464.69
  4. Step 4: Simplify right side
    16,964.44x = 550,591,559.47
  5. Step 5: Solve for x
    x = 550,591,559.47/16,964.44
  6. Step 6: Final answer
    x = 32,455.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.