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Finding the Third Proportional to 36,295.50 and 54,443.50

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Solution

The third proportional to 36,295.50 and 54,443.50 is: 81,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,295.50 : 54,443.50 = 54,443.50 : x
  2. Step 2: Convert to fraction form
    36,295.50/54,443.50 = 54,443.50/x
  3. Step 3: Cross multiply
    36,295.50x = 54,443.50 × 54,443.50
  4. Step 4: Simplify right side
    36,295.50x = 2,964,094,692.25
  5. Step 5: Solve for x
    x = 2,964,094,692.25/36,295.50
  6. Step 6: Final answer
    x = 81,665.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.