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Finding the Third Proportional to 3,144.75 and 6,664.13

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Solution

The third proportional to 3,144.75 and 6,664.13 is: 14,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.75 : 6,664.13 = 6,664.13 : x
  2. Step 2: Convert to fraction form
    3,144.75/6,664.13 = 6,664.13/x
  3. Step 3: Cross multiply
    3,144.75x = 6,664.13 × 6,664.13
  4. Step 4: Simplify right side
    3,144.75x = 44,410,562.02
  5. Step 5: Solve for x
    x = 44,410,562.02/3,144.75
  6. Step 6: Final answer
    x = 14,122.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.