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Finding the Third Proportional to 3,229.50 and 5,706.75

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Solution

The third proportional to 3,229.50 and 5,706.75 is: 10,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.50 : 5,706.75 = 5,706.75 : x
  2. Step 2: Convert to fraction form
    3,229.50/5,706.75 = 5,706.75/x
  3. Step 3: Cross multiply
    3,229.50x = 5,706.75 × 5,706.75
  4. Step 4: Simplify right side
    3,229.50x = 32,566,995.56
  5. Step 5: Solve for x
    x = 32,566,995.56/3,229.50
  6. Step 6: Final answer
    x = 10,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.