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Finding the Third Proportional to 950.44 and 1,812.75

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Solution

The third proportional to 950.44 and 1,812.75 is: 3,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.44 : 1,812.75 = 1,812.75 : x
  2. Step 2: Convert to fraction form
    950.44/1,812.75 = 1,812.75/x
  3. Step 3: Cross multiply
    950.44x = 1,812.75 × 1,812.75
  4. Step 4: Simplify right side
    950.44x = 3,286,062.56
  5. Step 5: Solve for x
    x = 3,286,062.56/950.44
  6. Step 6: Final answer
    x = 3,457.42

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.