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Finding the Third Proportional to 2,963.25 and 6,419.25

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Solution

The third proportional to 2,963.25 and 6,419.25 is: 13,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.25 : 6,419.25 = 6,419.25 : x
  2. Step 2: Convert to fraction form
    2,963.25/6,419.25 = 6,419.25/x
  3. Step 3: Cross multiply
    2,963.25x = 6,419.25 × 6,419.25
  4. Step 4: Simplify right side
    2,963.25x = 41,206,770.56
  5. Step 5: Solve for x
    x = 41,206,770.56/2,963.25
  6. Step 6: Final answer
    x = 13,905.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.