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Finding the Third Proportional to 20,214 and 43,404

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Solution

The third proportional to 20,214 and 43,404 is: 93,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 43,404 = 43,404 : x
  2. Step 2: Convert to fraction form
    20,214/43,404 = 43,404/x
  3. Step 3: Cross multiply
    20,214x = 43,404 × 43,404
  4. Step 4: Simplify right side
    20,214x = 1,883,907,216
  5. Step 5: Solve for x
    x = 1,883,907,216/20,214
  6. Step 6: Final answer
    x = 93,198.14

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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.