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Finding the Third Proportional to 1,450 and 2,201.75

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Solution

The third proportional to 1,450 and 2,201.75 is: 3,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450 : 2,201.75 = 2,201.75 : x
  2. Step 2: Convert to fraction form
    1,450/2,201.75 = 2,201.75/x
  3. Step 3: Cross multiply
    1,450x = 2,201.75 × 2,201.75
  4. Step 4: Simplify right side
    1,450x = 4,847,703.06
  5. Step 5: Solve for x
    x = 4,847,703.06/1,450
  6. Step 6: Final answer
    x = 3,343.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.