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Finding the Third Proportional to 3,194 and 5,019

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Solution

The third proportional to 3,194 and 5,019 is: 7,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 5,019 = 5,019 : x
  2. Step 2: Convert to fraction form
    3,194/5,019 = 5,019/x
  3. Step 3: Cross multiply
    3,194x = 5,019 × 5,019
  4. Step 4: Simplify right side
    3,194x = 25,190,361
  5. Step 5: Solve for x
    x = 25,190,361/3,194
  6. Step 6: Final answer
    x = 7,886.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.