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Finding the Third Proportional to 16,984.50 and 37,425

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Solution

The third proportional to 16,984.50 and 37,425 is: 82,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.50 : 37,425 = 37,425 : x
  2. Step 2: Convert to fraction form
    16,984.50/37,425 = 37,425/x
  3. Step 3: Cross multiply
    16,984.50x = 37,425 × 37,425
  4. Step 4: Simplify right side
    16,984.50x = 1,400,630,625
  5. Step 5: Solve for x
    x = 1,400,630,625/16,984.50
  6. Step 6: Final answer
    x = 82,465.23

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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.