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Finding the Third Proportional to 16,724 and 22,200

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Solution

The third proportional to 16,724 and 22,200 is: 29,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724 : 22,200 = 22,200 : x
  2. Step 2: Convert to fraction form
    16,724/22,200 = 22,200/x
  3. Step 3: Cross multiply
    16,724x = 22,200 × 22,200
  4. Step 4: Simplify right side
    16,724x = 492,840,000
  5. Step 5: Solve for x
    x = 492,840,000/16,724
  6. Step 6: Final answer
    x = 29,469.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.