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Finding the Third Proportional to 13,718 and 19,422

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Solution

The third proportional to 13,718 and 19,422 is: 27,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718 : 19,422 = 19,422 : x
  2. Step 2: Convert to fraction form
    13,718/19,422 = 19,422/x
  3. Step 3: Cross multiply
    13,718x = 19,422 × 19,422
  4. Step 4: Simplify right side
    13,718x = 377,214,084
  5. Step 5: Solve for x
    x = 377,214,084/13,718
  6. Step 6: Final answer
    x = 27,497.75

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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.