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Finding the Third Proportional to 34,932 and 73,806

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Solution

The third proportional to 34,932 and 73,806 is: 155,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932 : 73,806 = 73,806 : x
  2. Step 2: Convert to fraction form
    34,932/73,806 = 73,806/x
  3. Step 3: Cross multiply
    34,932x = 73,806 × 73,806
  4. Step 4: Simplify right side
    34,932x = 5,447,325,636
  5. Step 5: Solve for x
    x = 5,447,325,636/34,932
  6. Step 6: Final answer
    x = 155,940.85

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