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Finding the Third Proportional to 1,729.69 and 2,596.22

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Solution

The third proportional to 1,729.69 and 2,596.22 is: 3,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.69 : 2,596.22 = 2,596.22 : x
  2. Step 2: Convert to fraction form
    1,729.69/2,596.22 = 2,596.22/x
  3. Step 3: Cross multiply
    1,729.69x = 2,596.22 × 2,596.22
  4. Step 4: Simplify right side
    1,729.69x = 6,740,351.80
  5. Step 5: Solve for x
    x = 6,740,351.80/1,729.69
  6. Step 6: Final answer
    x = 3,896.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.