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Finding the Third Proportional to 13,378 and 19,874

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Solution

The third proportional to 13,378 and 19,874 is: 29,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378 : 19,874 = 19,874 : x
  2. Step 2: Convert to fraction form
    13,378/19,874 = 19,874/x
  3. Step 3: Cross multiply
    13,378x = 19,874 × 19,874
  4. Step 4: Simplify right side
    13,378x = 394,975,876
  5. Step 5: Solve for x
    x = 394,975,876/13,378
  6. Step 6: Final answer
    x = 29,524.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.