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Finding the Third Proportional to 4,679.44 and 7,095.09

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Solution

The third proportional to 4,679.44 and 7,095.09 is: 10,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.44 : 7,095.09 = 7,095.09 : x
  2. Step 2: Convert to fraction form
    4,679.44/7,095.09 = 7,095.09/x
  3. Step 3: Cross multiply
    4,679.44x = 7,095.09 × 7,095.09
  4. Step 4: Simplify right side
    4,679.44x = 50,340,355.32
  5. Step 5: Solve for x
    x = 50,340,355.32/4,679.44
  6. Step 6: Final answer
    x = 10,757.78

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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.