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Finding the Third Proportional to 2,960.25 and 4,145.25

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Solution

The third proportional to 2,960.25 and 4,145.25 is: 5,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.25 : 4,145.25 = 4,145.25 : x
  2. Step 2: Convert to fraction form
    2,960.25/4,145.25 = 4,145.25/x
  3. Step 3: Cross multiply
    2,960.25x = 4,145.25 × 4,145.25
  4. Step 4: Simplify right side
    2,960.25x = 17,183,097.56
  5. Step 5: Solve for x
    x = 17,183,097.56/2,960.25
  6. Step 6: Final answer
    x = 5,804.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.