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Finding the Third Proportional to 8,194 and 12,299

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Solution

The third proportional to 8,194 and 12,299 is: 18,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194 : 12,299 = 12,299 : x
  2. Step 2: Convert to fraction form
    8,194/12,299 = 12,299/x
  3. Step 3: Cross multiply
    8,194x = 12,299 × 12,299
  4. Step 4: Simplify right side
    8,194x = 151,265,401
  5. Step 5: Solve for x
    x = 151,265,401/8,194
  6. Step 6: Final answer
    x = 18,460.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.