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Finding the Third Proportional to 13,880 and 19,652

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Solution

The third proportional to 13,880 and 19,652 is: 27,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 19,652 = 19,652 : x
  2. Step 2: Convert to fraction form
    13,880/19,652 = 19,652/x
  3. Step 3: Cross multiply
    13,880x = 19,652 × 19,652
  4. Step 4: Simplify right side
    13,880x = 386,201,104
  5. Step 5: Solve for x
    x = 386,201,104/13,880
  6. Step 6: Final answer
    x = 27,824.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.