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Finding the Third Proportional to 11,676 and 17,472

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Solution

The third proportional to 11,676 and 17,472 is: 26,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 17,472 = 17,472 : x
  2. Step 2: Convert to fraction form
    11,676/17,472 = 17,472/x
  3. Step 3: Cross multiply
    11,676x = 17,472 × 17,472
  4. Step 4: Simplify right side
    11,676x = 305,270,784
  5. Step 5: Solve for x
    x = 305,270,784/11,676
  6. Step 6: Final answer
    x = 26,145.15

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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.