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Finding the Third Proportional to 2,194 and 4,694

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Solution

The third proportional to 2,194 and 4,694 is: 10,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 4,694 = 4,694 : x
  2. Step 2: Convert to fraction form
    2,194/4,694 = 4,694/x
  3. Step 3: Cross multiply
    2,194x = 4,694 × 4,694
  4. Step 4: Simplify right side
    2,194x = 22,033,636
  5. Step 5: Solve for x
    x = 22,033,636/2,194
  6. Step 6: Final answer
    x = 10,042.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.