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Finding the Third Proportional to 11,965 and 24,511

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Solution

The third proportional to 11,965 and 24,511 is: 50,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 24,511 = 24,511 : x
  2. Step 2: Convert to fraction form
    11,965/24,511 = 24,511/x
  3. Step 3: Cross multiply
    11,965x = 24,511 × 24,511
  4. Step 4: Simplify right side
    11,965x = 600,789,121
  5. Step 5: Solve for x
    x = 600,789,121/11,965
  6. Step 6: Final answer
    x = 50,212.21

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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.