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Finding the Third Proportional to 3,194 and 5,129

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Solution

The third proportional to 3,194 and 5,129 is: 8,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 5,129 = 5,129 : x
  2. Step 2: Convert to fraction form
    3,194/5,129 = 5,129/x
  3. Step 3: Cross multiply
    3,194x = 5,129 × 5,129
  4. Step 4: Simplify right side
    3,194x = 26,306,641
  5. Step 5: Solve for x
    x = 26,306,641/3,194
  6. Step 6: Final answer
    x = 8,236.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.