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Finding the Third Proportional to 11,233.69 and 15,736.78

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Solution

The third proportional to 11,233.69 and 15,736.78 is: 22,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233.69 : 15,736.78 = 15,736.78 : x
  2. Step 2: Convert to fraction form
    11,233.69/15,736.78 = 15,736.78/x
  3. Step 3: Cross multiply
    11,233.69x = 15,736.78 × 15,736.78
  4. Step 4: Simplify right side
    11,233.69x = 247,646,284.11
  5. Step 5: Solve for x
    x = 247,646,284.11/11,233.69
  6. Step 6: Final answer
    x = 22,044.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.