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Finding the Third Proportional to 1,729.69 and 3,849.19

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Solution

The third proportional to 1,729.69 and 3,849.19 is: 8,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.69 : 3,849.19 = 3,849.19 : x
  2. Step 2: Convert to fraction form
    1,729.69/3,849.19 = 3,849.19/x
  3. Step 3: Cross multiply
    1,729.69x = 3,849.19 × 3,849.19
  4. Step 4: Simplify right side
    1,729.69x = 14,816,244.41
  5. Step 5: Solve for x
    x = 14,816,244.41/1,729.69
  6. Step 6: Final answer
    x = 8,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.