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Finding the Third Proportional to 40,893 and 54,954

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Solution

The third proportional to 40,893 and 54,954 is: 73,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,893 : 54,954 = 54,954 : x
  2. Step 2: Convert to fraction form
    40,893/54,954 = 54,954/x
  3. Step 3: Cross multiply
    40,893x = 54,954 × 54,954
  4. Step 4: Simplify right side
    40,893x = 3,019,942,116
  5. Step 5: Solve for x
    x = 3,019,942,116/40,893
  6. Step 6: Final answer
    x = 73,849.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.