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Finding the Third Proportional to 2,267 and 4,679

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Solution

The third proportional to 2,267 and 4,679 is: 9,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267 : 4,679 = 4,679 : x
  2. Step 2: Convert to fraction form
    2,267/4,679 = 4,679/x
  3. Step 3: Cross multiply
    2,267x = 4,679 × 4,679
  4. Step 4: Simplify right side
    2,267x = 21,893,041
  5. Step 5: Solve for x
    x = 21,893,041/2,267
  6. Step 6: Final answer
    x = 9,657.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.