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Finding the Third Proportional to 34,848 and 54,027

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Solution

The third proportional to 34,848 and 54,027 is: 83,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,848 : 54,027 = 54,027 : x
  2. Step 2: Convert to fraction form
    34,848/54,027 = 54,027/x
  3. Step 3: Cross multiply
    34,848x = 54,027 × 54,027
  4. Step 4: Simplify right side
    34,848x = 2,918,916,729
  5. Step 5: Solve for x
    x = 2,918,916,729/34,848
  6. Step 6: Final answer
    x = 83,761.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.