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Finding the Third Proportional to 11,450 and 23,926

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Solution

The third proportional to 11,450 and 23,926 is: 49,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 23,926 = 23,926 : x
  2. Step 2: Convert to fraction form
    11,450/23,926 = 23,926/x
  3. Step 3: Cross multiply
    11,450x = 23,926 × 23,926
  4. Step 4: Simplify right side
    11,450x = 572,453,476
  5. Step 5: Solve for x
    x = 572,453,476/11,450
  6. Step 6: Final answer
    x = 49,995.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.