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Finding the Third Proportional to 832.94 and 1,819.65

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Solution

The third proportional to 832.94 and 1,819.65 is: 3,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.94 : 1,819.65 = 1,819.65 : x
  2. Step 2: Convert to fraction form
    832.94/1,819.65 = 1,819.65/x
  3. Step 3: Cross multiply
    832.94x = 1,819.65 × 1,819.65
  4. Step 4: Simplify right side
    832.94x = 3,311,134.65
  5. Step 5: Solve for x
    x = 3,311,134.65/832.94
  6. Step 6: Final answer
    x = 3,975.24

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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.