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Finding the Third Proportional to 24,619 and 50,690

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Solution

The third proportional to 24,619 and 50,690 is: 104,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619 : 50,690 = 50,690 : x
  2. Step 2: Convert to fraction form
    24,619/50,690 = 50,690/x
  3. Step 3: Cross multiply
    24,619x = 50,690 × 50,690
  4. Step 4: Simplify right side
    24,619x = 2,569,476,100
  5. Step 5: Solve for x
    x = 2,569,476,100/24,619
  6. Step 6: Final answer
    x = 104,369.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.