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Finding the Third Proportional to 1,828.69 and 4,069.13

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Solution

The third proportional to 1,828.69 and 4,069.13 is: 9,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.69 : 4,069.13 = 4,069.13 : x
  2. Step 2: Convert to fraction form
    1,828.69/4,069.13 = 4,069.13/x
  3. Step 3: Cross multiply
    1,828.69x = 4,069.13 × 4,069.13
  4. Step 4: Simplify right side
    1,828.69x = 16,557,778.27
  5. Step 5: Solve for x
    x = 16,557,778.27/1,828.69
  6. Step 6: Final answer
    x = 9,054.46

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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.