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Finding the Third Proportional to 5,804 and 11,876

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Solution

The third proportional to 5,804 and 11,876 is: 24,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804 : 11,876 = 11,876 : x
  2. Step 2: Convert to fraction form
    5,804/11,876 = 11,876/x
  3. Step 3: Cross multiply
    5,804x = 11,876 × 11,876
  4. Step 4: Simplify right side
    5,804x = 141,039,376
  5. Step 5: Solve for x
    x = 141,039,376/5,804
  6. Step 6: Final answer
    x = 24,300.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.