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Finding the Third Proportional to 3,651.33 and 7,944.33

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Solution

The third proportional to 3,651.33 and 7,944.33 is: 17,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.33 : 7,944.33 = 7,944.33 : x
  2. Step 2: Convert to fraction form
    3,651.33/7,944.33 = 7,944.33/x
  3. Step 3: Cross multiply
    3,651.33x = 7,944.33 × 7,944.33
  4. Step 4: Simplify right side
    3,651.33x = 63,112,349.36
  5. Step 5: Solve for x
    x = 63,112,349.36/3,651.33
  6. Step 6: Final answer
    x = 17,284.77

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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.