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Finding the Third Proportional to 3,221.44 and 6,670.69

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Solution

The third proportional to 3,221.44 and 6,670.69 is: 13,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.44 : 6,670.69 = 6,670.69 : x
  2. Step 2: Convert to fraction form
    3,221.44/6,670.69 = 6,670.69/x
  3. Step 3: Cross multiply
    3,221.44x = 6,670.69 × 6,670.69
  4. Step 4: Simplify right side
    3,221.44x = 44,498,071.72
  5. Step 5: Solve for x
    x = 44,498,071.72/3,221.44
  6. Step 6: Final answer
    x = 13,813.11

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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.