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Finding the Third Proportional to 6,928.50 and 16,704.19

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Solution

The third proportional to 6,928.50 and 16,704.19 is: 40,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.50 : 16,704.19 = 16,704.19 : x
  2. Step 2: Convert to fraction form
    6,928.50/16,704.19 = 16,704.19/x
  3. Step 3: Cross multiply
    6,928.50x = 16,704.19 × 16,704.19
  4. Step 4: Simplify right side
    6,928.50x = 279,029,880.04
  5. Step 5: Solve for x
    x = 279,029,880.04/6,928.50
  6. Step 6: Final answer
    x = 40,272.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.