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Finding the Third Proportional to 3,204 and 6,817.50

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Solution

The third proportional to 3,204 and 6,817.50 is: 14,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204 : 6,817.50 = 6,817.50 : x
  2. Step 2: Convert to fraction form
    3,204/6,817.50 = 6,817.50/x
  3. Step 3: Cross multiply
    3,204x = 6,817.50 × 6,817.50
  4. Step 4: Simplify right side
    3,204x = 46,478,306.25
  5. Step 5: Solve for x
    x = 46,478,306.25/3,204
  6. Step 6: Final answer
    x = 14,506.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.