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Finding the Third Proportional to 18,922 and 40,150

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Solution

The third proportional to 18,922 and 40,150 is: 85,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922 : 40,150 = 40,150 : x
  2. Step 2: Convert to fraction form
    18,922/40,150 = 40,150/x
  3. Step 3: Cross multiply
    18,922x = 40,150 × 40,150
  4. Step 4: Simplify right side
    18,922x = 1,612,022,500
  5. Step 5: Solve for x
    x = 1,612,022,500/18,922
  6. Step 6: Final answer
    x = 85,193.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.