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Finding the Third Proportional to 23,852 and 47,101

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Solution

The third proportional to 23,852 and 47,101 is: 93,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852 : 47,101 = 47,101 : x
  2. Step 2: Convert to fraction form
    23,852/47,101 = 47,101/x
  3. Step 3: Cross multiply
    23,852x = 47,101 × 47,101
  4. Step 4: Simplify right side
    23,852x = 2,218,504,201
  5. Step 5: Solve for x
    x = 2,218,504,201/23,852
  6. Step 6: Final answer
    x = 93,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.