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Finding the Third Proportional to 23,751.75 and 50,185.50

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Solution

The third proportional to 23,751.75 and 50,185.50 is: 106,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.75 : 50,185.50 = 50,185.50 : x
  2. Step 2: Convert to fraction form
    23,751.75/50,185.50 = 50,185.50/x
  3. Step 3: Cross multiply
    23,751.75x = 50,185.50 × 50,185.50
  4. Step 4: Simplify right side
    23,751.75x = 2,518,584,410.25
  5. Step 5: Solve for x
    x = 2,518,584,410.25/23,751.75
  6. Step 6: Final answer
    x = 106,037.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.