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Finding the Third Proportional to 2,194 and 3,397

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Solution

The third proportional to 2,194 and 3,397 is: 5,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,397 = 3,397 : x
  2. Step 2: Convert to fraction form
    2,194/3,397 = 3,397/x
  3. Step 3: Cross multiply
    2,194x = 3,397 × 3,397
  4. Step 4: Simplify right side
    2,194x = 11,539,609
  5. Step 5: Solve for x
    x = 11,539,609/2,194
  6. Step 6: Final answer
    x = 5,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.