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Finding the Third Proportional to 1,857.94 and 2,832.47

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Solution

The third proportional to 1,857.94 and 2,832.47 is: 4,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.94 : 2,832.47 = 2,832.47 : x
  2. Step 2: Convert to fraction form
    1,857.94/2,832.47 = 2,832.47/x
  3. Step 3: Cross multiply
    1,857.94x = 2,832.47 × 2,832.47
  4. Step 4: Simplify right side
    1,857.94x = 8,022,879.22
  5. Step 5: Solve for x
    x = 8,022,879.22/1,857.94
  6. Step 6: Final answer
    x = 4,318.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.