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Finding the Third Proportional to 11,044.69 and 16,824.38

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Solution

The third proportional to 11,044.69 and 16,824.38 is: 25,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,044.69 : 16,824.38 = 16,824.38 : x
  2. Step 2: Convert to fraction form
    11,044.69/16,824.38 = 16,824.38/x
  3. Step 3: Cross multiply
    11,044.69x = 16,824.38 × 16,824.38
  4. Step 4: Simplify right side
    11,044.69x = 283,059,594.14
  5. Step 5: Solve for x
    x = 283,059,594.14/11,044.69
  6. Step 6: Final answer
    x = 25,628.57

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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.