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Finding the Third Proportional to 16,984.50 and 24,464.50

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Solution

The third proportional to 16,984.50 and 24,464.50 is: 35,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.50 : 24,464.50 = 24,464.50 : x
  2. Step 2: Convert to fraction form
    16,984.50/24,464.50 = 24,464.50/x
  3. Step 3: Cross multiply
    16,984.50x = 24,464.50 × 24,464.50
  4. Step 4: Simplify right side
    16,984.50x = 598,511,760.25
  5. Step 5: Solve for x
    x = 598,511,760.25/16,984.50
  6. Step 6: Final answer
    x = 35,238.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.