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Finding the Third Proportional to 6,819.19 and 16,227.84

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Solution

The third proportional to 6,819.19 and 16,227.84 is: 38,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.19 : 16,227.84 = 16,227.84 : x
  2. Step 2: Convert to fraction form
    6,819.19/16,227.84 = 16,227.84/x
  3. Step 3: Cross multiply
    6,819.19x = 16,227.84 × 16,227.84
  4. Step 4: Simplify right side
    6,819.19x = 263,342,912.77
  5. Step 5: Solve for x
    x = 263,342,912.77/6,819.19
  6. Step 6: Final answer
    x = 38,617.93

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.