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Finding the Third Proportional to 3,164.91 and 6,704.44

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Solution

The third proportional to 3,164.91 and 6,704.44 is: 14,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.91 : 6,704.44 = 6,704.44 : x
  2. Step 2: Convert to fraction form
    3,164.91/6,704.44 = 6,704.44/x
  3. Step 3: Cross multiply
    3,164.91x = 6,704.44 × 6,704.44
  4. Step 4: Simplify right side
    3,164.91x = 44,949,482.19
  5. Step 5: Solve for x
    x = 44,949,482.19/3,164.91
  6. Step 6: Final answer
    x = 14,202.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.