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Finding the Third Proportional to 50,634 and 55,494

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Solution

The third proportional to 50,634 and 55,494 is: 60,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634 : 55,494 = 55,494 : x
  2. Step 2: Convert to fraction form
    50,634/55,494 = 55,494/x
  3. Step 3: Cross multiply
    50,634x = 55,494 × 55,494
  4. Step 4: Simplify right side
    50,634x = 3,079,584,036
  5. Step 5: Solve for x
    x = 3,079,584,036/50,634
  6. Step 6: Final answer
    x = 60,820.48

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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.