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Finding the Third Proportional to 5,234.50 and 14,231.50

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Solution

The third proportional to 5,234.50 and 14,231.50 is: 38,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.50 : 14,231.50 = 14,231.50 : x
  2. Step 2: Convert to fraction form
    5,234.50/14,231.50 = 14,231.50/x
  3. Step 3: Cross multiply
    5,234.50x = 14,231.50 × 14,231.50
  4. Step 4: Simplify right side
    5,234.50x = 202,535,592.25
  5. Step 5: Solve for x
    x = 202,535,592.25/5,234.50
  6. Step 6: Final answer
    x = 38,692.44

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.