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Finding the Third Proportional to 1,804.44 and 3,953.69

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Solution

The third proportional to 1,804.44 and 3,953.69 is: 8,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.44 : 3,953.69 = 3,953.69 : x
  2. Step 2: Convert to fraction form
    1,804.44/3,953.69 = 3,953.69/x
  3. Step 3: Cross multiply
    1,804.44x = 3,953.69 × 3,953.69
  4. Step 4: Simplify right side
    1,804.44x = 15,631,644.85
  5. Step 5: Solve for x
    x = 15,631,644.85/1,804.44
  6. Step 6: Final answer
    x = 8,662.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.