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Finding the Third Proportional to 963.14 and 1,945.27

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Solution

The third proportional to 963.14 and 1,945.27 is: 3,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,945.27 = 1,945.27 : x
  2. Step 2: Convert to fraction form
    963.14/1,945.27 = 1,945.27/x
  3. Step 3: Cross multiply
    963.14x = 1,945.27 × 1,945.27
  4. Step 4: Simplify right side
    963.14x = 3,784,058.35
  5. Step 5: Solve for x
    x = 3,784,058.35/963.14
  6. Step 6: Final answer
    x = 3,928.87

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.