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Finding the Third Proportional to 13,422 and 19,337

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Solution

The third proportional to 13,422 and 19,337 is: 27,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422 : 19,337 = 19,337 : x
  2. Step 2: Convert to fraction form
    13,422/19,337 = 19,337/x
  3. Step 3: Cross multiply
    13,422x = 19,337 × 19,337
  4. Step 4: Simplify right side
    13,422x = 373,919,569
  5. Step 5: Solve for x
    x = 373,919,569/13,422
  6. Step 6: Final answer
    x = 27,858.71

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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.