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Finding the Third Proportional to 16,692 and 25,837

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Solution

The third proportional to 16,692 and 25,837 is: 39,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692 : 25,837 = 25,837 : x
  2. Step 2: Convert to fraction form
    16,692/25,837 = 25,837/x
  3. Step 3: Cross multiply
    16,692x = 25,837 × 25,837
  4. Step 4: Simplify right side
    16,692x = 667,550,569
  5. Step 5: Solve for x
    x = 667,550,569/16,692
  6. Step 6: Final answer
    x = 39,992.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.