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Finding the Third Proportional to 16,522.50 and 23,667

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Solution

The third proportional to 16,522.50 and 23,667 is: 33,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.50 : 23,667 = 23,667 : x
  2. Step 2: Convert to fraction form
    16,522.50/23,667 = 23,667/x
  3. Step 3: Cross multiply
    16,522.50x = 23,667 × 23,667
  4. Step 4: Simplify right side
    16,522.50x = 560,126,889
  5. Step 5: Solve for x
    x = 560,126,889/16,522.50
  6. Step 6: Final answer
    x = 33,900.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.