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Finding the Third Proportional to 13,384 and 19,212

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Solution

The third proportional to 13,384 and 19,212 is: 27,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 19,212 = 19,212 : x
  2. Step 2: Convert to fraction form
    13,384/19,212 = 19,212/x
  3. Step 3: Cross multiply
    13,384x = 19,212 × 19,212
  4. Step 4: Simplify right side
    13,384x = 369,100,944
  5. Step 5: Solve for x
    x = 369,100,944/13,384
  6. Step 6: Final answer
    x = 27,577.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.