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Finding the Third Proportional to 4,215 and 8,227.50

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Solution

The third proportional to 4,215 and 8,227.50 is: 16,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 8,227.50 = 8,227.50 : x
  2. Step 2: Convert to fraction form
    4,215/8,227.50 = 8,227.50/x
  3. Step 3: Cross multiply
    4,215x = 8,227.50 × 8,227.50
  4. Step 4: Simplify right side
    4,215x = 67,691,756.25
  5. Step 5: Solve for x
    x = 67,691,756.25/4,215
  6. Step 6: Final answer
    x = 16,059.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.