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Finding the Third Proportional to 1,610.94 and 3,394.75

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Solution

The third proportional to 1,610.94 and 3,394.75 is: 7,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.94 : 3,394.75 = 3,394.75 : x
  2. Step 2: Convert to fraction form
    1,610.94/3,394.75 = 3,394.75/x
  3. Step 3: Cross multiply
    1,610.94x = 3,394.75 × 3,394.75
  4. Step 4: Simplify right side
    1,610.94x = 11,524,327.56
  5. Step 5: Solve for x
    x = 11,524,327.56/1,610.94
  6. Step 6: Final answer
    x = 7,153.80

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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.