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Finding the Third Proportional to 23,370.75 and 50,685

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Solution

The third proportional to 23,370.75 and 50,685 is: 109,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370.75 : 50,685 = 50,685 : x
  2. Step 2: Convert to fraction form
    23,370.75/50,685 = 50,685/x
  3. Step 3: Cross multiply
    23,370.75x = 50,685 × 50,685
  4. Step 4: Simplify right side
    23,370.75x = 2,568,969,225
  5. Step 5: Solve for x
    x = 2,568,969,225/23,370.75
  6. Step 6: Final answer
    x = 109,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.