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Finding the Third Proportional to 2,735.06 and 6,001.97

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Solution

The third proportional to 2,735.06 and 6,001.97 is: 13,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.06 : 6,001.97 = 6,001.97 : x
  2. Step 2: Convert to fraction form
    2,735.06/6,001.97 = 6,001.97/x
  3. Step 3: Cross multiply
    2,735.06x = 6,001.97 × 6,001.97
  4. Step 4: Simplify right side
    2,735.06x = 36,023,628.88
  5. Step 5: Solve for x
    x = 36,023,628.88/2,735.06
  6. Step 6: Final answer
    x = 13,171.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.