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Finding the Third Proportional to 41,385.94 and 54,644.63

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Solution

The third proportional to 41,385.94 and 54,644.63 is: 72,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,385.94 : 54,644.63 = 54,644.63 : x
  2. Step 2: Convert to fraction form
    41,385.94/54,644.63 = 54,644.63/x
  3. Step 3: Cross multiply
    41,385.94x = 54,644.63 × 54,644.63
  4. Step 4: Simplify right side
    41,385.94x = 2,986,035,041.39
  5. Step 5: Solve for x
    x = 2,986,035,041.39/41,385.94
  6. Step 6: Final answer
    x = 72,150.96

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.