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Finding the Third Proportional to 4,462.75 and 6,680.63

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Solution

The third proportional to 4,462.75 and 6,680.63 is: 10,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.75 : 6,680.63 = 6,680.63 : x
  2. Step 2: Convert to fraction form
    4,462.75/6,680.63 = 6,680.63/x
  3. Step 3: Cross multiply
    4,462.75x = 6,680.63 × 6,680.63
  4. Step 4: Simplify right side
    4,462.75x = 44,630,750.39
  5. Step 5: Solve for x
    x = 44,630,750.39/4,462.75
  6. Step 6: Final answer
    x = 10,000.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.