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Finding the Third Proportional to 963.14 and 1,449.14

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Solution

The third proportional to 963.14 and 1,449.14 is: 2,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,449.14 = 1,449.14 : x
  2. Step 2: Convert to fraction form
    963.14/1,449.14 = 1,449.14/x
  3. Step 3: Cross multiply
    963.14x = 1,449.14 × 1,449.14
  4. Step 4: Simplify right side
    963.14x = 2,100,008.55
  5. Step 5: Solve for x
    x = 2,100,008.55/963.14
  6. Step 6: Final answer
    x = 2,180.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.