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Finding the Third Proportional to 16,476.75 and 38,879

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Solution

The third proportional to 16,476.75 and 38,879 is: 91,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.75 : 38,879 = 38,879 : x
  2. Step 2: Convert to fraction form
    16,476.75/38,879 = 38,879/x
  3. Step 3: Cross multiply
    16,476.75x = 38,879 × 38,879
  4. Step 4: Simplify right side
    16,476.75x = 1,511,576,641
  5. Step 5: Solve for x
    x = 1,511,576,641/16,476.75
  6. Step 6: Final answer
    x = 91,739.98

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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.