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Finding the Third Proportional to 16,703 and 25,684

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Solution

The third proportional to 16,703 and 25,684 is: 39,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,703 : 25,684 = 25,684 : x
  2. Step 2: Convert to fraction form
    16,703/25,684 = 25,684/x
  3. Step 3: Cross multiply
    16,703x = 25,684 × 25,684
  4. Step 4: Simplify right side
    16,703x = 659,667,856
  5. Step 5: Solve for x
    x = 659,667,856/16,703
  6. Step 6: Final answer
    x = 39,493.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.