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Finding the Third Proportional to 12,028.69 and 17,326.69

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Solution

The third proportional to 12,028.69 and 17,326.69 is: 24,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.69 : 17,326.69 = 17,326.69 : x
  2. Step 2: Convert to fraction form
    12,028.69/17,326.69 = 17,326.69/x
  3. Step 3: Cross multiply
    12,028.69x = 17,326.69 × 17,326.69
  4. Step 4: Simplify right side
    12,028.69x = 300,214,099.72
  5. Step 5: Solve for x
    x = 300,214,099.72/12,028.69
  6. Step 6: Final answer
    x = 24,958.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.