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Finding the Third Proportional to 16,837 and 25,769

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Solution

The third proportional to 16,837 and 25,769 is: 39,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837 : 25,769 = 25,769 : x
  2. Step 2: Convert to fraction form
    16,837/25,769 = 25,769/x
  3. Step 3: Cross multiply
    16,837x = 25,769 × 25,769
  4. Step 4: Simplify right side
    16,837x = 664,041,361
  5. Step 5: Solve for x
    x = 664,041,361/16,837
  6. Step 6: Final answer
    x = 39,439.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.