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Finding the Third Proportional to 11,161.13 and 16,584.75

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Solution

The third proportional to 11,161.13 and 16,584.75 is: 24,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.13 : 16,584.75 = 16,584.75 : x
  2. Step 2: Convert to fraction form
    11,161.13/16,584.75 = 16,584.75/x
  3. Step 3: Cross multiply
    11,161.13x = 16,584.75 × 16,584.75
  4. Step 4: Simplify right side
    11,161.13x = 275,053,932.56
  5. Step 5: Solve for x
    x = 275,053,932.56/11,161.13
  6. Step 6: Final answer
    x = 24,643.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.