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Finding the Third Proportional to 10,191 and 11,667

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Solution

The third proportional to 10,191 and 11,667 is: 13,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191 : 11,667 = 11,667 : x
  2. Step 2: Convert to fraction form
    10,191/11,667 = 11,667/x
  3. Step 3: Cross multiply
    10,191x = 11,667 × 11,667
  4. Step 4: Simplify right side
    10,191x = 136,118,889
  5. Step 5: Solve for x
    x = 136,118,889/10,191
  6. Step 6: Final answer
    x = 13,356.77

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.