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Finding the Third Proportional to 4,629.75 and 10,080.75

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Solution

The third proportional to 4,629.75 and 10,080.75 is: 21,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.75 : 10,080.75 = 10,080.75 : x
  2. Step 2: Convert to fraction form
    4,629.75/10,080.75 = 10,080.75/x
  3. Step 3: Cross multiply
    4,629.75x = 10,080.75 × 10,080.75
  4. Step 4: Simplify right side
    4,629.75x = 101,621,520.56
  5. Step 5: Solve for x
    x = 101,621,520.56/4,629.75
  6. Step 6: Final answer
    x = 21,949.68

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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.