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Finding the Third Proportional to 16,038 and 25,198

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Solution

The third proportional to 16,038 and 25,198 is: 39,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 25,198 = 25,198 : x
  2. Step 2: Convert to fraction form
    16,038/25,198 = 25,198/x
  3. Step 3: Cross multiply
    16,038x = 25,198 × 25,198
  4. Step 4: Simplify right side
    16,038x = 634,939,204
  5. Step 5: Solve for x
    x = 634,939,204/16,038
  6. Step 6: Final answer
    x = 39,589.67

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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.