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Finding the Third Proportional to 34,311.75 and 54,793.50

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Solution

The third proportional to 34,311.75 and 54,793.50 is: 87,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.75 : 54,793.50 = 54,793.50 : x
  2. Step 2: Convert to fraction form
    34,311.75/54,793.50 = 54,793.50/x
  3. Step 3: Cross multiply
    34,311.75x = 54,793.50 × 54,793.50
  4. Step 4: Simplify right side
    34,311.75x = 3,002,327,642.25
  5. Step 5: Solve for x
    x = 3,002,327,642.25/34,311.75
  6. Step 6: Final answer
    x = 87,501.44

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.