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Finding the Third Proportional to 11,805 and 24,573

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Solution

The third proportional to 11,805 and 24,573 is: 51,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805 : 24,573 = 24,573 : x
  2. Step 2: Convert to fraction form
    11,805/24,573 = 24,573/x
  3. Step 3: Cross multiply
    11,805x = 24,573 × 24,573
  4. Step 4: Simplify right side
    11,805x = 603,832,329
  5. Step 5: Solve for x
    x = 603,832,329/11,805
  6. Step 6: Final answer
    x = 51,150.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.