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Finding the Third Proportional to 14,311.50 and 29,027.25

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Solution

The third proportional to 14,311.50 and 29,027.25 is: 58,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.50 : 29,027.25 = 29,027.25 : x
  2. Step 2: Convert to fraction form
    14,311.50/29,027.25 = 29,027.25/x
  3. Step 3: Cross multiply
    14,311.50x = 29,027.25 × 29,027.25
  4. Step 4: Simplify right side
    14,311.50x = 842,581,242.56
  5. Step 5: Solve for x
    x = 842,581,242.56/14,311.50
  6. Step 6: Final answer
    x = 58,874.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.