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Finding the Third Proportional to 14,027.50 and 30,695

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Solution

The third proportional to 14,027.50 and 30,695 is: 67,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.50 : 30,695 = 30,695 : x
  2. Step 2: Convert to fraction form
    14,027.50/30,695 = 30,695/x
  3. Step 3: Cross multiply
    14,027.50x = 30,695 × 30,695
  4. Step 4: Simplify right side
    14,027.50x = 942,183,025
  5. Step 5: Solve for x
    x = 942,183,025/14,027.50
  6. Step 6: Final answer
    x = 67,166.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.