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Finding the Third Proportional to 16,022 and 25,167

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Solution

The third proportional to 16,022 and 25,167 is: 39,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022 : 25,167 = 25,167 : x
  2. Step 2: Convert to fraction form
    16,022/25,167 = 25,167/x
  3. Step 3: Cross multiply
    16,022x = 25,167 × 25,167
  4. Step 4: Simplify right side
    16,022x = 633,377,889
  5. Step 5: Solve for x
    x = 633,377,889/16,022
  6. Step 6: Final answer
    x = 39,531.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.