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Finding the Third Proportional to 3,229.50 and 6,756.75

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Solution

The third proportional to 3,229.50 and 6,756.75 is: 14,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.50 : 6,756.75 = 6,756.75 : x
  2. Step 2: Convert to fraction form
    3,229.50/6,756.75 = 6,756.75/x
  3. Step 3: Cross multiply
    3,229.50x = 6,756.75 × 6,756.75
  4. Step 4: Simplify right side
    3,229.50x = 45,653,670.56
  5. Step 5: Solve for x
    x = 45,653,670.56/3,229.50
  6. Step 6: Final answer
    x = 14,136.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.