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Finding the Third Proportional to 3,546.28 and 7,579.83

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Solution

The third proportional to 3,546.28 and 7,579.83 is: 16,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.28 : 7,579.83 = 7,579.83 : x
  2. Step 2: Convert to fraction form
    3,546.28/7,579.83 = 7,579.83/x
  3. Step 3: Cross multiply
    3,546.28x = 7,579.83 × 7,579.83
  4. Step 4: Simplify right side
    3,546.28x = 57,453,794.40
  5. Step 5: Solve for x
    x = 57,453,794.40/3,546.28
  6. Step 6: Final answer
    x = 16,201.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.