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Finding the Third Proportional to 13,619 and 18,755

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Solution

The third proportional to 13,619 and 18,755 is: 25,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619 : 18,755 = 18,755 : x
  2. Step 2: Convert to fraction form
    13,619/18,755 = 18,755/x
  3. Step 3: Cross multiply
    13,619x = 18,755 × 18,755
  4. Step 4: Simplify right side
    13,619x = 351,750,025
  5. Step 5: Solve for x
    x = 351,750,025/13,619
  6. Step 6: Final answer
    x = 25,827.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.