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Finding the Third Proportional to 872.75 and 1,846.75

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Solution

The third proportional to 872.75 and 1,846.75 is: 3,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.75 : 1,846.75 = 1,846.75 : x
  2. Step 2: Convert to fraction form
    872.75/1,846.75 = 1,846.75/x
  3. Step 3: Cross multiply
    872.75x = 1,846.75 × 1,846.75
  4. Step 4: Simplify right side
    872.75x = 3,410,485.56
  5. Step 5: Solve for x
    x = 3,410,485.56/872.75
  6. Step 6: Final answer
    x = 3,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.