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Finding the Third Proportional to 15,962 and 21,667

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Solution

The third proportional to 15,962 and 21,667 is: 29,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962 : 21,667 = 21,667 : x
  2. Step 2: Convert to fraction form
    15,962/21,667 = 21,667/x
  3. Step 3: Cross multiply
    15,962x = 21,667 × 21,667
  4. Step 4: Simplify right side
    15,962x = 469,458,889
  5. Step 5: Solve for x
    x = 469,458,889/15,962
  6. Step 6: Final answer
    x = 29,411.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.