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Finding the Third Proportional to 3,223.13 and 6,674.06

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Solution

The third proportional to 3,223.13 and 6,674.06 is: 13,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.13 : 6,674.06 = 6,674.06 : x
  2. Step 2: Convert to fraction form
    3,223.13/6,674.06 = 6,674.06/x
  3. Step 3: Cross multiply
    3,223.13x = 6,674.06 × 6,674.06
  4. Step 4: Simplify right side
    3,223.13x = 44,543,110.25
  5. Step 5: Solve for x
    x = 44,543,110.25/3,223.13
  6. Step 6: Final answer
    x = 13,819.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.