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Finding the Third Proportional to 963 and 2,400

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Solution

The third proportional to 963 and 2,400 is: 5,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 2,400 = 2,400 : x
  2. Step 2: Convert to fraction form
    963/2,400 = 2,400/x
  3. Step 3: Cross multiply
    963x = 2,400 × 2,400
  4. Step 4: Simplify right side
    963x = 5,760,000
  5. Step 5: Solve for x
    x = 5,760,000/963
  6. Step 6: Final answer
    x = 5,981.31

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.