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Finding the Third Proportional to 7,682.50 and 12,059

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Solution

The third proportional to 7,682.50 and 12,059 is: 18,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.50 : 12,059 = 12,059 : x
  2. Step 2: Convert to fraction form
    7,682.50/12,059 = 12,059/x
  3. Step 3: Cross multiply
    7,682.50x = 12,059 × 12,059
  4. Step 4: Simplify right side
    7,682.50x = 145,419,481
  5. Step 5: Solve for x
    x = 145,419,481/7,682.50
  6. Step 6: Final answer
    x = 18,928.67

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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.