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Finding the Third Proportional to 16,496 and 38,927

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Solution

The third proportional to 16,496 and 38,927 is: 91,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496 : 38,927 = 38,927 : x
  2. Step 2: Convert to fraction form
    16,496/38,927 = 38,927/x
  3. Step 3: Cross multiply
    16,496x = 38,927 × 38,927
  4. Step 4: Simplify right side
    16,496x = 1,515,311,329
  5. Step 5: Solve for x
    x = 1,515,311,329/16,496
  6. Step 6: Final answer
    x = 91,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.