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Finding the Third Proportional to 2,059.17 and 2,832.47

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Solution

The third proportional to 2,059.17 and 2,832.47 is: 3,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.17 : 2,832.47 = 2,832.47 : x
  2. Step 2: Convert to fraction form
    2,059.17/2,832.47 = 2,832.47/x
  3. Step 3: Cross multiply
    2,059.17x = 2,832.47 × 2,832.47
  4. Step 4: Simplify right side
    2,059.17x = 8,022,879.22
  5. Step 5: Solve for x
    x = 8,022,879.22/2,059.17
  6. Step 6: Final answer
    x = 3,896.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.