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Finding the Third Proportional to 16,027.50 and 34,695

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Solution

The third proportional to 16,027.50 and 34,695 is: 75,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.50 : 34,695 = 34,695 : x
  2. Step 2: Convert to fraction form
    16,027.50/34,695 = 34,695/x
  3. Step 3: Cross multiply
    16,027.50x = 34,695 × 34,695
  4. Step 4: Simplify right side
    16,027.50x = 1,203,743,025
  5. Step 5: Solve for x
    x = 1,203,743,025/16,027.50
  6. Step 6: Final answer
    x = 75,104.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.