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Finding the Third Proportional to 40,896 and 54,956

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Solution

The third proportional to 40,896 and 54,956 is: 73,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 54,956 = 54,956 : x
  2. Step 2: Convert to fraction form
    40,896/54,956 = 54,956/x
  3. Step 3: Cross multiply
    40,896x = 54,956 × 54,956
  4. Step 4: Simplify right side
    40,896x = 3,020,161,936
  5. Step 5: Solve for x
    x = 3,020,161,936/40,896
  6. Step 6: Final answer
    x = 73,849.81

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