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Finding the Third Proportional to 16,474.50 and 22,005

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Solution

The third proportional to 16,474.50 and 22,005 is: 29,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.50 : 22,005 = 22,005 : x
  2. Step 2: Convert to fraction form
    16,474.50/22,005 = 22,005/x
  3. Step 3: Cross multiply
    16,474.50x = 22,005 × 22,005
  4. Step 4: Simplify right side
    16,474.50x = 484,220,025
  5. Step 5: Solve for x
    x = 484,220,025/16,474.50
  6. Step 6: Final answer
    x = 29,392.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.