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Finding the Third Proportional to 43,375.50 and 47,911.50

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Solution

The third proportional to 43,375.50 and 47,911.50 is: 52,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,375.50 : 47,911.50 = 47,911.50 : x
  2. Step 2: Convert to fraction form
    43,375.50/47,911.50 = 47,911.50/x
  3. Step 3: Cross multiply
    43,375.50x = 47,911.50 × 47,911.50
  4. Step 4: Simplify right side
    43,375.50x = 2,295,511,832.25
  5. Step 5: Solve for x
    x = 2,295,511,832.25/43,375.50
  6. Step 6: Final answer
    x = 52,921.85

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.