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Finding the Third Proportional to 18,153 and 40,194

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Solution

The third proportional to 18,153 and 40,194 is: 88,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,153 : 40,194 = 40,194 : x
  2. Step 2: Convert to fraction form
    18,153/40,194 = 40,194/x
  3. Step 3: Cross multiply
    18,153x = 40,194 × 40,194
  4. Step 4: Simplify right side
    18,153x = 1,615,557,636
  5. Step 5: Solve for x
    x = 1,615,557,636/18,153
  6. Step 6: Final answer
    x = 88,996.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.