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Finding the Third Proportional to 2,836.69 and 6,511.22

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Solution

The third proportional to 2,836.69 and 6,511.22 is: 14,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.69 : 6,511.22 = 6,511.22 : x
  2. Step 2: Convert to fraction form
    2,836.69/6,511.22 = 6,511.22/x
  3. Step 3: Cross multiply
    2,836.69x = 6,511.22 × 6,511.22
  4. Step 4: Simplify right side
    2,836.69x = 42,395,969.61
  5. Step 5: Solve for x
    x = 42,395,969.61/2,836.69
  6. Step 6: Final answer
    x = 14,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.