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Finding the Third Proportional to 4,604.25 and 7,080.75

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Solution

The third proportional to 4,604.25 and 7,080.75 is: 10,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.25 : 7,080.75 = 7,080.75 : x
  2. Step 2: Convert to fraction form
    4,604.25/7,080.75 = 7,080.75/x
  3. Step 3: Cross multiply
    4,604.25x = 7,080.75 × 7,080.75
  4. Step 4: Simplify right side
    4,604.25x = 50,137,020.56
  5. Step 5: Solve for x
    x = 50,137,020.56/4,604.25
  6. Step 6: Final answer
    x = 10,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.