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Finding the Third Proportional to 32,150.50 and 69,647

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Solution

The third proportional to 32,150.50 and 69,647 is: 150,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.50 : 69,647 = 69,647 : x
  2. Step 2: Convert to fraction form
    32,150.50/69,647 = 69,647/x
  3. Step 3: Cross multiply
    32,150.50x = 69,647 × 69,647
  4. Step 4: Simplify right side
    32,150.50x = 4,850,704,609
  5. Step 5: Solve for x
    x = 4,850,704,609/32,150.50
  6. Step 6: Final answer
    x = 150,874.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.