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Finding the Third Proportional to 7,694.41 and 16,538.14

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Solution

The third proportional to 7,694.41 and 16,538.14 is: 35,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.41 : 16,538.14 = 16,538.14 : x
  2. Step 2: Convert to fraction form
    7,694.41/16,538.14 = 16,538.14/x
  3. Step 3: Cross multiply
    7,694.41x = 16,538.14 × 16,538.14
  4. Step 4: Simplify right side
    7,694.41x = 273,510,095.33
  5. Step 5: Solve for x
    x = 273,510,095.33/7,694.41
  6. Step 6: Final answer
    x = 35,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.