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Finding the Third Proportional to 13,146 and 19,667

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Solution

The third proportional to 13,146 and 19,667 is: 29,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146 : 19,667 = 19,667 : x
  2. Step 2: Convert to fraction form
    13,146/19,667 = 19,667/x
  3. Step 3: Cross multiply
    13,146x = 19,667 × 19,667
  4. Step 4: Simplify right side
    13,146x = 386,790,889
  5. Step 5: Solve for x
    x = 386,790,889/13,146
  6. Step 6: Final answer
    x = 29,422.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.