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Finding the Third Proportional to 13,601 and 28,675

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Solution

The third proportional to 13,601 and 28,675 is: 60,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601 : 28,675 = 28,675 : x
  2. Step 2: Convert to fraction form
    13,601/28,675 = 28,675/x
  3. Step 3: Cross multiply
    13,601x = 28,675 × 28,675
  4. Step 4: Simplify right side
    13,601x = 822,255,625
  5. Step 5: Solve for x
    x = 822,255,625/13,601
  6. Step 6: Final answer
    x = 60,455.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.