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Finding the Third Proportional to 3,367.50 and 6,609

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Solution

The third proportional to 3,367.50 and 6,609 is: 12,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.50 : 6,609 = 6,609 : x
  2. Step 2: Convert to fraction form
    3,367.50/6,609 = 6,609/x
  3. Step 3: Cross multiply
    3,367.50x = 6,609 × 6,609
  4. Step 4: Simplify right side
    3,367.50x = 43,678,881
  5. Step 5: Solve for x
    x = 43,678,881/3,367.50
  6. Step 6: Final answer
    x = 12,970.71

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.