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Finding the Third Proportional to 23,786 and 50,852

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Solution

The third proportional to 23,786 and 50,852 is: 108,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786 : 50,852 = 50,852 : x
  2. Step 2: Convert to fraction form
    23,786/50,852 = 50,852/x
  3. Step 3: Cross multiply
    23,786x = 50,852 × 50,852
  4. Step 4: Simplify right side
    23,786x = 2,585,925,904
  5. Step 5: Solve for x
    x = 2,585,925,904/23,786
  6. Step 6: Final answer
    x = 108,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.