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Finding the Third Proportional to 16,736 and 25,105

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Solution

The third proportional to 16,736 and 25,105 is: 37,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736 : 25,105 = 25,105 : x
  2. Step 2: Convert to fraction form
    16,736/25,105 = 25,105/x
  3. Step 3: Cross multiply
    16,736x = 25,105 × 25,105
  4. Step 4: Simplify right side
    16,736x = 630,261,025
  5. Step 5: Solve for x
    x = 630,261,025/16,736
  6. Step 6: Final answer
    x = 37,659.00

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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.