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Finding the Third Proportional to 2,194 and 3,182

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Solution

The third proportional to 2,194 and 3,182 is: 4,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,182 = 3,182 : x
  2. Step 2: Convert to fraction form
    2,194/3,182 = 3,182/x
  3. Step 3: Cross multiply
    2,194x = 3,182 × 3,182
  4. Step 4: Simplify right side
    2,194x = 10,125,124
  5. Step 5: Solve for x
    x = 10,125,124/2,194
  6. Step 6: Final answer
    x = 4,614.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.