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Finding the Third Proportional to 7,367.84 and 10,414.83

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Solution

The third proportional to 7,367.84 and 10,414.83 is: 14,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.84 : 10,414.83 = 10,414.83 : x
  2. Step 2: Convert to fraction form
    7,367.84/10,414.83 = 10,414.83/x
  3. Step 3: Cross multiply
    7,367.84x = 10,414.83 × 10,414.83
  4. Step 4: Simplify right side
    7,367.84x = 108,468,644.87
  5. Step 5: Solve for x
    x = 108,468,644.87/7,367.84
  6. Step 6: Final answer
    x = 14,721.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.