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Finding the Third Proportional to 16,923 and 37,127

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Solution

The third proportional to 16,923 and 37,127 is: 81,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923 : 37,127 = 37,127 : x
  2. Step 2: Convert to fraction form
    16,923/37,127 = 37,127/x
  3. Step 3: Cross multiply
    16,923x = 37,127 × 37,127
  4. Step 4: Simplify right side
    16,923x = 1,378,414,129
  5. Step 5: Solve for x
    x = 1,378,414,129/16,923
  6. Step 6: Final answer
    x = 81,452.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.