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Finding the Third Proportional to 16,231.50 and 37,309.50

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Solution

The third proportional to 16,231.50 and 37,309.50 is: 85,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.50 : 37,309.50 = 37,309.50 : x
  2. Step 2: Convert to fraction form
    16,231.50/37,309.50 = 37,309.50/x
  3. Step 3: Cross multiply
    16,231.50x = 37,309.50 × 37,309.50
  4. Step 4: Simplify right side
    16,231.50x = 1,391,998,790.25
  5. Step 5: Solve for x
    x = 1,391,998,790.25/16,231.50
  6. Step 6: Final answer
    x = 85,759.10

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.