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Finding the Third Proportional to 13,478 and 19,167

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Solution

The third proportional to 13,478 and 19,167 is: 27,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 19,167 = 19,167 : x
  2. Step 2: Convert to fraction form
    13,478/19,167 = 19,167/x
  3. Step 3: Cross multiply
    13,478x = 19,167 × 19,167
  4. Step 4: Simplify right side
    13,478x = 367,373,889
  5. Step 5: Solve for x
    x = 367,373,889/13,478
  6. Step 6: Final answer
    x = 27,257.30

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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.