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Finding the Third Proportional to 3,277.69 and 7,005.80

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Solution

The third proportional to 3,277.69 and 7,005.80 is: 14,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.69 : 7,005.80 = 7,005.80 : x
  2. Step 2: Convert to fraction form
    3,277.69/7,005.80 = 7,005.80/x
  3. Step 3: Cross multiply
    3,277.69x = 7,005.80 × 7,005.80
  4. Step 4: Simplify right side
    3,277.69x = 49,081,189.85
  5. Step 5: Solve for x
    x = 49,081,189.85/3,277.69
  6. Step 6: Final answer
    x = 14,974.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.