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Finding the Third Proportional to 12,144 and 18,302

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Solution

The third proportional to 12,144 and 18,302 is: 27,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144 : 18,302 = 18,302 : x
  2. Step 2: Convert to fraction form
    12,144/18,302 = 18,302/x
  3. Step 3: Cross multiply
    12,144x = 18,302 × 18,302
  4. Step 4: Simplify right side
    12,144x = 334,963,204
  5. Step 5: Solve for x
    x = 334,963,204/12,144
  6. Step 6: Final answer
    x = 27,582.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.