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Finding the Third Proportional to 23,981 and 51,790

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Solution

The third proportional to 23,981 and 51,790 is: 111,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981 : 51,790 = 51,790 : x
  2. Step 2: Convert to fraction form
    23,981/51,790 = 51,790/x
  3. Step 3: Cross multiply
    23,981x = 51,790 × 51,790
  4. Step 4: Simplify right side
    23,981x = 2,682,204,100
  5. Step 5: Solve for x
    x = 2,682,204,100/23,981
  6. Step 6: Final answer
    x = 111,847.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.