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Finding the Third Proportional to 695.63 and 1,511.63

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Solution

The third proportional to 695.63 and 1,511.63 is: 3,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.63 : 1,511.63 = 1,511.63 : x
  2. Step 2: Convert to fraction form
    695.63/1,511.63 = 1,511.63/x
  3. Step 3: Cross multiply
    695.63x = 1,511.63 × 1,511.63
  4. Step 4: Simplify right side
    695.63x = 2,285,010.14
  5. Step 5: Solve for x
    x = 2,285,010.14/695.63
  6. Step 6: Final answer
    x = 3,284.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.