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Finding the Third Proportional to 855.88 and 1,846.63

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Solution

The third proportional to 855.88 and 1,846.63 is: 3,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.88 : 1,846.63 = 1,846.63 : x
  2. Step 2: Convert to fraction form
    855.88/1,846.63 = 1,846.63/x
  3. Step 3: Cross multiply
    855.88x = 1,846.63 × 1,846.63
  4. Step 4: Simplify right side
    855.88x = 3,410,023.89
  5. Step 5: Solve for x
    x = 3,410,023.89/855.88
  6. Step 6: Final answer
    x = 3,984.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.