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Finding the Third Proportional to 1,826.16 and 3,944.39

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Solution

The third proportional to 1,826.16 and 3,944.39 is: 8,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.16 : 3,944.39 = 3,944.39 : x
  2. Step 2: Convert to fraction form
    1,826.16/3,944.39 = 3,944.39/x
  3. Step 3: Cross multiply
    1,826.16x = 3,944.39 × 3,944.39
  4. Step 4: Simplify right side
    1,826.16x = 15,558,217.40
  5. Step 5: Solve for x
    x = 15,558,217.40/1,826.16
  6. Step 6: Final answer
    x = 8,519.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.