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Finding the Third Proportional to 12,194 and 18,259

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Solution

The third proportional to 12,194 and 18,259 is: 27,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194 : 18,259 = 18,259 : x
  2. Step 2: Convert to fraction form
    12,194/18,259 = 18,259/x
  3. Step 3: Cross multiply
    12,194x = 18,259 × 18,259
  4. Step 4: Simplify right side
    12,194x = 333,391,081
  5. Step 5: Solve for x
    x = 333,391,081/12,194
  6. Step 6: Final answer
    x = 27,340.58

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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.