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Finding the Third Proportional to 1,337.06 and 3,221.06

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Solution

The third proportional to 1,337.06 and 3,221.06 is: 7,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.06 : 3,221.06 = 3,221.06 : x
  2. Step 2: Convert to fraction form
    1,337.06/3,221.06 = 3,221.06/x
  3. Step 3: Cross multiply
    1,337.06x = 3,221.06 × 3,221.06
  4. Step 4: Simplify right side
    1,337.06x = 10,375,243.63
  5. Step 5: Solve for x
    x = 10,375,243.63/1,337.06
  6. Step 6: Final answer
    x = 7,759.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.