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Finding the Third Proportional to 35,464.50 and 54,912.94

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Solution

The third proportional to 35,464.50 and 54,912.94 is: 85,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.50 : 54,912.94 = 54,912.94 : x
  2. Step 2: Convert to fraction form
    35,464.50/54,912.94 = 54,912.94/x
  3. Step 3: Cross multiply
    35,464.50x = 54,912.94 × 54,912.94
  4. Step 4: Simplify right side
    35,464.50x = 3,015,430,704.88
  5. Step 5: Solve for x
    x = 3,015,430,704.88/35,464.50
  6. Step 6: Final answer
    x = 85,026.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.