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Finding the Third Proportional to 16,760 and 25,064

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Solution

The third proportional to 16,760 and 25,064 is: 37,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760 : 25,064 = 25,064 : x
  2. Step 2: Convert to fraction form
    16,760/25,064 = 25,064/x
  3. Step 3: Cross multiply
    16,760x = 25,064 × 25,064
  4. Step 4: Simplify right side
    16,760x = 628,204,096
  5. Step 5: Solve for x
    x = 628,204,096/16,760
  6. Step 6: Final answer
    x = 37,482.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.