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Finding the Third Proportional to 1,846.50 and 4,067.63

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Solution

The third proportional to 1,846.50 and 4,067.63 is: 8,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.50 : 4,067.63 = 4,067.63 : x
  2. Step 2: Convert to fraction form
    1,846.50/4,067.63 = 4,067.63/x
  3. Step 3: Cross multiply
    1,846.50x = 4,067.63 × 4,067.63
  4. Step 4: Simplify right side
    1,846.50x = 16,545,573.14
  5. Step 5: Solve for x
    x = 16,545,573.14/1,846.50
  6. Step 6: Final answer
    x = 8,960.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.