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Finding the Third Proportional to 11,311.96 and 16,641.17

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Solution

The third proportional to 11,311.96 and 16,641.17 is: 24,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.96 : 16,641.17 = 16,641.17 : x
  2. Step 2: Convert to fraction form
    11,311.96/16,641.17 = 16,641.17/x
  3. Step 3: Cross multiply
    11,311.96x = 16,641.17 × 16,641.17
  4. Step 4: Simplify right side
    11,311.96x = 276,928,511.99
  5. Step 5: Solve for x
    x = 276,928,511.99/11,311.96
  6. Step 6: Final answer
    x = 24,481.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.