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Finding the Third Proportional to 18,194 and 38,590

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Solution

The third proportional to 18,194 and 38,590 is: 81,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194 : 38,590 = 38,590 : x
  2. Step 2: Convert to fraction form
    18,194/38,590 = 38,590/x
  3. Step 3: Cross multiply
    18,194x = 38,590 × 38,590
  4. Step 4: Simplify right side
    18,194x = 1,489,188,100
  5. Step 5: Solve for x
    x = 1,489,188,100/18,194
  6. Step 6: Final answer
    x = 81,850.51

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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.