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Finding the Third Proportional to 10,194 and 21,921

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Solution

The third proportional to 10,194 and 21,921 is: 47,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 21,921 = 21,921 : x
  2. Step 2: Convert to fraction form
    10,194/21,921 = 21,921/x
  3. Step 3: Cross multiply
    10,194x = 21,921 × 21,921
  4. Step 4: Simplify right side
    10,194x = 480,530,241
  5. Step 5: Solve for x
    x = 480,530,241/10,194
  6. Step 6: Final answer
    x = 47,138.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.