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Finding the Third Proportional to 1,857.94 and 4,004.44

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Solution

The third proportional to 1,857.94 and 4,004.44 is: 8,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.94 : 4,004.44 = 4,004.44 : x
  2. Step 2: Convert to fraction form
    1,857.94/4,004.44 = 4,004.44/x
  3. Step 3: Cross multiply
    1,857.94x = 4,004.44 × 4,004.44
  4. Step 4: Simplify right side
    1,857.94x = 16,035,519.69
  5. Step 5: Solve for x
    x = 16,035,519.69/1,857.94
  6. Step 6: Final answer
    x = 8,630.82

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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.