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Finding the Third Proportional to 23,564.25 and 50,739.75

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Solution

The third proportional to 23,564.25 and 50,739.75 is: 109,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.25 : 50,739.75 = 50,739.75 : x
  2. Step 2: Convert to fraction form
    23,564.25/50,739.75 = 50,739.75/x
  3. Step 3: Cross multiply
    23,564.25x = 50,739.75 × 50,739.75
  4. Step 4: Simplify right side
    23,564.25x = 2,574,522,230.06
  5. Step 5: Solve for x
    x = 2,574,522,230.06/23,564.25
  6. Step 6: Final answer
    x = 109,255.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.