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Finding the Third Proportional to 3,195.07 and 4,936.41

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Solution

The third proportional to 3,195.07 and 4,936.41 is: 7,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.07 : 4,936.41 = 4,936.41 : x
  2. Step 2: Convert to fraction form
    3,195.07/4,936.41 = 4,936.41/x
  3. Step 3: Cross multiply
    3,195.07x = 4,936.41 × 4,936.41
  4. Step 4: Simplify right side
    3,195.07x = 24,368,164.51
  5. Step 5: Solve for x
    x = 24,368,164.51/3,195.07
  6. Step 6: Final answer
    x = 7,626.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.