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Finding the Third Proportional to 16,021.50 and 34,412

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Solution

The third proportional to 16,021.50 and 34,412 is: 73,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.50 : 34,412 = 34,412 : x
  2. Step 2: Convert to fraction form
    16,021.50/34,412 = 34,412/x
  3. Step 3: Cross multiply
    16,021.50x = 34,412 × 34,412
  4. Step 4: Simplify right side
    16,021.50x = 1,184,185,744
  5. Step 5: Solve for x
    x = 1,184,185,744/16,021.50
  6. Step 6: Final answer
    x = 73,912.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.