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Finding the Third Proportional to 24,203.25 and 50,622.75

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Solution

The third proportional to 24,203.25 and 50,622.75 is: 105,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.25 : 50,622.75 = 50,622.75 : x
  2. Step 2: Convert to fraction form
    24,203.25/50,622.75 = 50,622.75/x
  3. Step 3: Cross multiply
    24,203.25x = 50,622.75 × 50,622.75
  4. Step 4: Simplify right side
    24,203.25x = 2,562,662,817.56
  5. Step 5: Solve for x
    x = 2,562,662,817.56/24,203.25
  6. Step 6: Final answer
    x = 105,880.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.