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Finding the Third Proportional to 21,900 and 47,694

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Solution

The third proportional to 21,900 and 47,694 is: 103,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900 : 47,694 = 47,694 : x
  2. Step 2: Convert to fraction form
    21,900/47,694 = 47,694/x
  3. Step 3: Cross multiply
    21,900x = 47,694 × 47,694
  4. Step 4: Simplify right side
    21,900x = 2,274,717,636
  5. Step 5: Solve for x
    x = 2,274,717,636/21,900
  6. Step 6: Final answer
    x = 103,868.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.