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Finding the Third Proportional to 12,256 and 18,654

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Solution

The third proportional to 12,256 and 18,654 is: 28,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 18,654 = 18,654 : x
  2. Step 2: Convert to fraction form
    12,256/18,654 = 18,654/x
  3. Step 3: Cross multiply
    12,256x = 18,654 × 18,654
  4. Step 4: Simplify right side
    12,256x = 347,971,716
  5. Step 5: Solve for x
    x = 347,971,716/12,256
  6. Step 6: Final answer
    x = 28,391.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.