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Finding the Third Proportional to 2,192.34 and 3,279.09

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Solution

The third proportional to 2,192.34 and 3,279.09 is: 4,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.34 : 3,279.09 = 3,279.09 : x
  2. Step 2: Convert to fraction form
    2,192.34/3,279.09 = 3,279.09/x
  3. Step 3: Cross multiply
    2,192.34x = 3,279.09 × 3,279.09
  4. Step 4: Simplify right side
    2,192.34x = 10,752,455.82
  5. Step 5: Solve for x
    x = 10,752,455.82/2,192.34
  6. Step 6: Final answer
    x = 4,904.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.