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Finding the Third Proportional to 2,661 and 5,610.75

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Solution

The third proportional to 2,661 and 5,610.75 is: 11,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661 : 5,610.75 = 5,610.75 : x
  2. Step 2: Convert to fraction form
    2,661/5,610.75 = 5,610.75/x
  3. Step 3: Cross multiply
    2,661x = 5,610.75 × 5,610.75
  4. Step 4: Simplify right side
    2,661x = 31,480,515.56
  5. Step 5: Solve for x
    x = 31,480,515.56/2,661
  6. Step 6: Final answer
    x = 11,830.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.