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Finding the Third Proportional to 3,234.75 and 6,017.25

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Solution

The third proportional to 3,234.75 and 6,017.25 is: 11,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.75 : 6,017.25 = 6,017.25 : x
  2. Step 2: Convert to fraction form
    3,234.75/6,017.25 = 6,017.25/x
  3. Step 3: Cross multiply
    3,234.75x = 6,017.25 × 6,017.25
  4. Step 4: Simplify right side
    3,234.75x = 36,207,297.56
  5. Step 5: Solve for x
    x = 36,207,297.56/3,234.75
  6. Step 6: Final answer
    x = 11,193.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.