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Finding the Third Proportional to 5,840 and 11,848

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Solution

The third proportional to 5,840 and 11,848 is: 24,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 11,848 = 11,848 : x
  2. Step 2: Convert to fraction form
    5,840/11,848 = 11,848/x
  3. Step 3: Cross multiply
    5,840x = 11,848 × 11,848
  4. Step 4: Simplify right side
    5,840x = 140,375,104
  5. Step 5: Solve for x
    x = 140,375,104/5,840
  6. Step 6: Final answer
    x = 24,036.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.