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Finding the Third Proportional to 7,907.94 and 16,704.83

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Solution

The third proportional to 7,907.94 and 16,704.83 is: 35,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.94 : 16,704.83 = 16,704.83 : x
  2. Step 2: Convert to fraction form
    7,907.94/16,704.83 = 16,704.83/x
  3. Step 3: Cross multiply
    7,907.94x = 16,704.83 × 16,704.83
  4. Step 4: Simplify right side
    7,907.94x = 279,051,217.43
  5. Step 5: Solve for x
    x = 279,051,217.43/7,907.94
  6. Step 6: Final answer
    x = 35,287.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.