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Finding the Third Proportional to 11,550.09 and 16,912.97

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Solution

The third proportional to 11,550.09 and 16,912.97 is: 24,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.09 : 16,912.97 = 16,912.97 : x
  2. Step 2: Convert to fraction form
    11,550.09/16,912.97 = 16,912.97/x
  3. Step 3: Cross multiply
    11,550.09x = 16,912.97 × 16,912.97
  4. Step 4: Simplify right side
    11,550.09x = 286,048,511.94
  5. Step 5: Solve for x
    x = 286,048,511.94/11,550.09
  6. Step 6: Final answer
    x = 24,765.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.