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Finding the Third Proportional to 14,631 and 32,250

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Solution

The third proportional to 14,631 and 32,250 is: 71,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631 : 32,250 = 32,250 : x
  2. Step 2: Convert to fraction form
    14,631/32,250 = 32,250/x
  3. Step 3: Cross multiply
    14,631x = 32,250 × 32,250
  4. Step 4: Simplify right side
    14,631x = 1,040,062,500
  5. Step 5: Solve for x
    x = 1,040,062,500/14,631
  6. Step 6: Final answer
    x = 71,086.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.