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Finding the Third Proportional to 13,024 and 27,667

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Solution

The third proportional to 13,024 and 27,667 is: 58,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 27,667 = 27,667 : x
  2. Step 2: Convert to fraction form
    13,024/27,667 = 27,667/x
  3. Step 3: Cross multiply
    13,024x = 27,667 × 27,667
  4. Step 4: Simplify right side
    13,024x = 765,462,889
  5. Step 5: Solve for x
    x = 765,462,889/13,024
  6. Step 6: Final answer
    x = 58,773.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.