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Finding the Third Proportional to 16,108 and 23,544

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Solution

The third proportional to 16,108 and 23,544 is: 34,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108 : 23,544 = 23,544 : x
  2. Step 2: Convert to fraction form
    16,108/23,544 = 23,544/x
  3. Step 3: Cross multiply
    16,108x = 23,544 × 23,544
  4. Step 4: Simplify right side
    16,108x = 554,319,936
  5. Step 5: Solve for x
    x = 554,319,936/16,108
  6. Step 6: Final answer
    x = 34,412.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.