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Finding the Third Proportional to 1,023.19 and 2,231.44

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Solution

The third proportional to 1,023.19 and 2,231.44 is: 4,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 2,231.44 = 2,231.44 : x
  2. Step 2: Convert to fraction form
    1,023.19/2,231.44 = 2,231.44/x
  3. Step 3: Cross multiply
    1,023.19x = 2,231.44 × 2,231.44
  4. Step 4: Simplify right side
    1,023.19x = 4,979,313.32
  5. Step 5: Solve for x
    x = 4,979,313.32/1,023.19
  6. Step 6: Final answer
    x = 4,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.