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Finding the Third Proportional to 4,286.67 and 6,680.60

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Solution

The third proportional to 4,286.67 and 6,680.60 is: 10,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.67 : 6,680.60 = 6,680.60 : x
  2. Step 2: Convert to fraction form
    4,286.67/6,680.60 = 6,680.60/x
  3. Step 3: Cross multiply
    4,286.67x = 6,680.60 × 6,680.60
  4. Step 4: Simplify right side
    4,286.67x = 44,630,437.24
  5. Step 5: Solve for x
    x = 44,630,437.24/4,286.67
  6. Step 6: Final answer
    x = 10,411.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.