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Finding the Third Proportional to 23,969 and 50,416.75

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Solution

The third proportional to 23,969 and 50,416.75 is: 106,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969 : 50,416.75 = 50,416.75 : x
  2. Step 2: Convert to fraction form
    23,969/50,416.75 = 50,416.75/x
  3. Step 3: Cross multiply
    23,969x = 50,416.75 × 50,416.75
  4. Step 4: Simplify right side
    23,969x = 2,541,848,680.56
  5. Step 5: Solve for x
    x = 2,541,848,680.56/23,969
  6. Step 6: Final answer
    x = 106,047.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.