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Finding the Third Proportional to 4,375.69 and 6,873.19

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Solution

The third proportional to 4,375.69 and 6,873.19 is: 10,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.69 : 6,873.19 = 6,873.19 : x
  2. Step 2: Convert to fraction form
    4,375.69/6,873.19 = 6,873.19/x
  3. Step 3: Cross multiply
    4,375.69x = 6,873.19 × 6,873.19
  4. Step 4: Simplify right side
    4,375.69x = 47,240,706.41
  5. Step 5: Solve for x
    x = 47,240,706.41/4,375.69
  6. Step 6: Final answer
    x = 10,796.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.