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Finding the Third Proportional to 1,351.69 and 2,912.91

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Solution

The third proportional to 1,351.69 and 2,912.91 is: 6,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.69 : 2,912.91 = 2,912.91 : x
  2. Step 2: Convert to fraction form
    1,351.69/2,912.91 = 2,912.91/x
  3. Step 3: Cross multiply
    1,351.69x = 2,912.91 × 2,912.91
  4. Step 4: Simplify right side
    1,351.69x = 8,485,022.82
  5. Step 5: Solve for x
    x = 8,485,022.82/1,351.69
  6. Step 6: Final answer
    x = 6,277.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.