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Finding the Third Proportional to 12,341 and 18,491

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Solution

The third proportional to 12,341 and 18,491 is: 27,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341 : 18,491 = 18,491 : x
  2. Step 2: Convert to fraction form
    12,341/18,491 = 18,491/x
  3. Step 3: Cross multiply
    12,341x = 18,491 × 18,491
  4. Step 4: Simplify right side
    12,341x = 341,917,081
  5. Step 5: Solve for x
    x = 341,917,081/12,341
  6. Step 6: Final answer
    x = 27,705.78

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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.