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Finding the Third Proportional to 1,235 and 2,667

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Solution

The third proportional to 1,235 and 2,667 is: 5,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235 : 2,667 = 2,667 : x
  2. Step 2: Convert to fraction form
    1,235/2,667 = 2,667/x
  3. Step 3: Cross multiply
    1,235x = 2,667 × 2,667
  4. Step 4: Simplify right side
    1,235x = 7,112,889
  5. Step 5: Solve for x
    x = 7,112,889/1,235
  6. Step 6: Final answer
    x = 5,759.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.