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Finding the Third Proportional to 16,852 and 35,400

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Solution

The third proportional to 16,852 and 35,400 is: 74,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852 : 35,400 = 35,400 : x
  2. Step 2: Convert to fraction form
    16,852/35,400 = 35,400/x
  3. Step 3: Cross multiply
    16,852x = 35,400 × 35,400
  4. Step 4: Simplify right side
    16,852x = 1,253,160,000
  5. Step 5: Solve for x
    x = 1,253,160,000/16,852
  6. Step 6: Final answer
    x = 74,362.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.