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Finding the Third Proportional to 11,884 and 25,821

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Solution

The third proportional to 11,884 and 25,821 is: 56,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 25,821 = 25,821 : x
  2. Step 2: Convert to fraction form
    11,884/25,821 = 25,821/x
  3. Step 3: Cross multiply
    11,884x = 25,821 × 25,821
  4. Step 4: Simplify right side
    11,884x = 666,724,041
  5. Step 5: Solve for x
    x = 666,724,041/11,884
  6. Step 6: Final answer
    x = 56,102.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.