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Finding the Third Proportional to 35,939 and 75,601

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Solution

The third proportional to 35,939 and 75,601 is: 159,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,939 : 75,601 = 75,601 : x
  2. Step 2: Convert to fraction form
    35,939/75,601 = 75,601/x
  3. Step 3: Cross multiply
    35,939x = 75,601 × 75,601
  4. Step 4: Simplify right side
    35,939x = 5,715,511,201
  5. Step 5: Solve for x
    x = 5,715,511,201/35,939
  6. Step 6: Final answer
    x = 159,033.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.