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Finding the Third Proportional to 28,183.50 and 37,964.25

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Solution

The third proportional to 28,183.50 and 37,964.25 is: 51,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183.50 : 37,964.25 = 37,964.25 : x
  2. Step 2: Convert to fraction form
    28,183.50/37,964.25 = 37,964.25/x
  3. Step 3: Cross multiply
    28,183.50x = 37,964.25 × 37,964.25
  4. Step 4: Simplify right side
    28,183.50x = 1,441,284,278.06
  5. Step 5: Solve for x
    x = 1,441,284,278.06/28,183.50
  6. Step 6: Final answer
    x = 51,139.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.