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Finding the Third Proportional to 12,474 and 16,554

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Solution

The third proportional to 12,474 and 16,554 is: 21,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 16,554 = 16,554 : x
  2. Step 2: Convert to fraction form
    12,474/16,554 = 16,554/x
  3. Step 3: Cross multiply
    12,474x = 16,554 × 16,554
  4. Step 4: Simplify right side
    12,474x = 274,034,916
  5. Step 5: Solve for x
    x = 274,034,916/12,474
  6. Step 6: Final answer
    x = 21,968.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.