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Finding the Third Proportional to 1,779.47 and 4,033.69

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Solution

The third proportional to 1,779.47 and 4,033.69 is: 9,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.47 : 4,033.69 = 4,033.69 : x
  2. Step 2: Convert to fraction form
    1,779.47/4,033.69 = 4,033.69/x
  3. Step 3: Cross multiply
    1,779.47x = 4,033.69 × 4,033.69
  4. Step 4: Simplify right side
    1,779.47x = 16,270,634.85
  5. Step 5: Solve for x
    x = 16,270,634.85/1,779.47
  6. Step 6: Final answer
    x = 9,143.54

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.