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Finding the Third Proportional to 927.25 and 1,958.75

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Solution

The third proportional to 927.25 and 1,958.75 is: 4,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.25 : 1,958.75 = 1,958.75 : x
  2. Step 2: Convert to fraction form
    927.25/1,958.75 = 1,958.75/x
  3. Step 3: Cross multiply
    927.25x = 1,958.75 × 1,958.75
  4. Step 4: Simplify right side
    927.25x = 3,836,701.56
  5. Step 5: Solve for x
    x = 3,836,701.56/927.25
  6. Step 6: Final answer
    x = 4,137.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.