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Finding the Third Proportional to 16,108 and 34,472

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Solution

The third proportional to 16,108 and 34,472 is: 73,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108 : 34,472 = 34,472 : x
  2. Step 2: Convert to fraction form
    16,108/34,472 = 34,472/x
  3. Step 3: Cross multiply
    16,108x = 34,472 × 34,472
  4. Step 4: Simplify right side
    16,108x = 1,188,318,784
  5. Step 5: Solve for x
    x = 1,188,318,784/16,108
  6. Step 6: Final answer
    x = 73,771.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.