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Finding the Third Proportional to 16,906.50 and 31,698

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Solution

The third proportional to 16,906.50 and 31,698 is: 59,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.50 : 31,698 = 31,698 : x
  2. Step 2: Convert to fraction form
    16,906.50/31,698 = 31,698/x
  3. Step 3: Cross multiply
    16,906.50x = 31,698 × 31,698
  4. Step 4: Simplify right side
    16,906.50x = 1,004,763,204
  5. Step 5: Solve for x
    x = 1,004,763,204/16,906.50
  6. Step 6: Final answer
    x = 59,430.59

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.