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Finding the Third Proportional to 2,311 and 3,723

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Solution

The third proportional to 2,311 and 3,723 is: 5,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 3,723 = 3,723 : x
  2. Step 2: Convert to fraction form
    2,311/3,723 = 3,723/x
  3. Step 3: Cross multiply
    2,311x = 3,723 × 3,723
  4. Step 4: Simplify right side
    2,311x = 13,860,729
  5. Step 5: Solve for x
    x = 13,860,729/2,311
  6. Step 6: Final answer
    x = 5,997.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.