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Finding the Third Proportional to 4,968.19 and 6,963.38

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Solution

The third proportional to 4,968.19 and 6,963.38 is: 9,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.19 : 6,963.38 = 6,963.38 : x
  2. Step 2: Convert to fraction form
    4,968.19/6,963.38 = 6,963.38/x
  3. Step 3: Cross multiply
    4,968.19x = 6,963.38 × 6,963.38
  4. Step 4: Simplify right side
    4,968.19x = 48,488,591.39
  5. Step 5: Solve for x
    x = 48,488,591.39/4,968.19
  6. Step 6: Final answer
    x = 9,759.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.