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Finding the Third Proportional to 2,232.56 and 3,450.09

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Solution

The third proportional to 2,232.56 and 3,450.09 is: 5,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 3,450.09 = 3,450.09 : x
  2. Step 2: Convert to fraction form
    2,232.56/3,450.09 = 3,450.09/x
  3. Step 3: Cross multiply
    2,232.56x = 3,450.09 × 3,450.09
  4. Step 4: Simplify right side
    2,232.56x = 11,903,146.88
  5. Step 5: Solve for x
    x = 11,903,146.88/2,232.56
  6. Step 6: Final answer
    x = 5,331.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.