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Finding the Third Proportional to 13,270 and 19,188

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Solution

The third proportional to 13,270 and 19,188 is: 27,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 19,188 = 19,188 : x
  2. Step 2: Convert to fraction form
    13,270/19,188 = 19,188/x
  3. Step 3: Cross multiply
    13,270x = 19,188 × 19,188
  4. Step 4: Simplify right side
    13,270x = 368,179,344
  5. Step 5: Solve for x
    x = 368,179,344/13,270
  6. Step 6: Final answer
    x = 27,745.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.