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Finding the Third Proportional to 34,956 and 74,855.25

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Solution

The third proportional to 34,956 and 74,855.25 is: 160,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956 : 74,855.25 = 74,855.25 : x
  2. Step 2: Convert to fraction form
    34,956/74,855.25 = 74,855.25/x
  3. Step 3: Cross multiply
    34,956x = 74,855.25 × 74,855.25
  4. Step 4: Simplify right side
    34,956x = 5,603,308,452.56
  5. Step 5: Solve for x
    x = 5,603,308,452.56/34,956
  6. Step 6: Final answer
    x = 160,296.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.