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Finding the Third Proportional to 949.25 and 1,025.75

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Solution

The third proportional to 949.25 and 1,025.75 is: 1,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.25 : 1,025.75 = 1,025.75 : x
  2. Step 2: Convert to fraction form
    949.25/1,025.75 = 1,025.75/x
  3. Step 3: Cross multiply
    949.25x = 1,025.75 × 1,025.75
  4. Step 4: Simplify right side
    949.25x = 1,052,163.06
  5. Step 5: Solve for x
    x = 1,052,163.06/949.25
  6. Step 6: Final answer
    x = 1,108.42

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.