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Finding the Third Proportional to 12,134 and 18,287

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Solution

The third proportional to 12,134 and 18,287 is: 27,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134 : 18,287 = 18,287 : x
  2. Step 2: Convert to fraction form
    12,134/18,287 = 18,287/x
  3. Step 3: Cross multiply
    12,134x = 18,287 × 18,287
  4. Step 4: Simplify right side
    12,134x = 334,414,369
  5. Step 5: Solve for x
    x = 334,414,369/12,134
  6. Step 6: Final answer
    x = 27,560.11

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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.