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Finding the Third Proportional to 2,174.06 and 2,721.09

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Solution

The third proportional to 2,174.06 and 2,721.09 is: 3,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.06 : 2,721.09 = 2,721.09 : x
  2. Step 2: Convert to fraction form
    2,174.06/2,721.09 = 2,721.09/x
  3. Step 3: Cross multiply
    2,174.06x = 2,721.09 × 2,721.09
  4. Step 4: Simplify right side
    2,174.06x = 7,404,351.20
  5. Step 5: Solve for x
    x = 7,404,351.20/2,174.06
  6. Step 6: Final answer
    x = 3,405.77

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.