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Finding the Third Proportional to 16,204.50 and 37,244.25

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Solution

The third proportional to 16,204.50 and 37,244.25 is: 85,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.50 : 37,244.25 = 37,244.25 : x
  2. Step 2: Convert to fraction form
    16,204.50/37,244.25 = 37,244.25/x
  3. Step 3: Cross multiply
    16,204.50x = 37,244.25 × 37,244.25
  4. Step 4: Simplify right side
    16,204.50x = 1,387,134,158.06
  5. Step 5: Solve for x
    x = 1,387,134,158.06/16,204.50
  6. Step 6: Final answer
    x = 85,601.79

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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.