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Finding the Third Proportional to 3,028.69 and 6,495.38

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Solution

The third proportional to 3,028.69 and 6,495.38 is: 13,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.69 : 6,495.38 = 6,495.38 : x
  2. Step 2: Convert to fraction form
    3,028.69/6,495.38 = 6,495.38/x
  3. Step 3: Cross multiply
    3,028.69x = 6,495.38 × 6,495.38
  4. Step 4: Simplify right side
    3,028.69x = 42,189,896.39
  5. Step 5: Solve for x
    x = 42,189,896.39/3,028.69
  6. Step 6: Final answer
    x = 13,930.09

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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.