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Finding the Third Proportional to 1,769 and 3,194

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Solution

The third proportional to 1,769 and 3,194 is: 5,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769 : 3,194 = 3,194 : x
  2. Step 2: Convert to fraction form
    1,769/3,194 = 3,194/x
  3. Step 3: Cross multiply
    1,769x = 3,194 × 3,194
  4. Step 4: Simplify right side
    1,769x = 10,201,636
  5. Step 5: Solve for x
    x = 10,201,636/1,769
  6. Step 6: Final answer
    x = 5,766.89

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.