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Finding the Third Proportional to 7,836.75 and 16,314.75

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Solution

The third proportional to 7,836.75 and 16,314.75 is: 33,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 16,314.75 = 16,314.75 : x
  2. Step 2: Convert to fraction form
    7,836.75/16,314.75 = 16,314.75/x
  3. Step 3: Cross multiply
    7,836.75x = 16,314.75 × 16,314.75
  4. Step 4: Simplify right side
    7,836.75x = 266,171,067.56
  5. Step 5: Solve for x
    x = 266,171,067.56/7,836.75
  6. Step 6: Final answer
    x = 33,964.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.