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Finding the Third Proportional to 16,123 and 34,055

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Solution

The third proportional to 16,123 and 34,055 is: 71,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123 : 34,055 = 34,055 : x
  2. Step 2: Convert to fraction form
    16,123/34,055 = 34,055/x
  3. Step 3: Cross multiply
    16,123x = 34,055 × 34,055
  4. Step 4: Simplify right side
    16,123x = 1,159,743,025
  5. Step 5: Solve for x
    x = 1,159,743,025/16,123
  6. Step 6: Final answer
    x = 71,930.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.