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Finding the Third Proportional to 16,947 and 25,175

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Solution

The third proportional to 16,947 and 25,175 is: 37,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 25,175 = 25,175 : x
  2. Step 2: Convert to fraction form
    16,947/25,175 = 25,175/x
  3. Step 3: Cross multiply
    16,947x = 25,175 × 25,175
  4. Step 4: Simplify right side
    16,947x = 633,780,625
  5. Step 5: Solve for x
    x = 633,780,625/16,947
  6. Step 6: Final answer
    x = 37,397.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.