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Finding the Third Proportional to 2,608.13 and 3,911.44

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Solution

The third proportional to 2,608.13 and 3,911.44 is: 5,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.13 : 3,911.44 = 3,911.44 : x
  2. Step 2: Convert to fraction form
    2,608.13/3,911.44 = 3,911.44/x
  3. Step 3: Cross multiply
    2,608.13x = 3,911.44 × 3,911.44
  4. Step 4: Simplify right side
    2,608.13x = 15,299,343.32
  5. Step 5: Solve for x
    x = 15,299,343.32/2,608.13
  6. Step 6: Final answer
    x = 5,866.03

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Why These Related Problems?

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