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Finding the Third Proportional to 21,576 and 33,903

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Solution

The third proportional to 21,576 and 33,903 is: 53,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576 : 33,903 = 33,903 : x
  2. Step 2: Convert to fraction form
    21,576/33,903 = 33,903/x
  3. Step 3: Cross multiply
    21,576x = 33,903 × 33,903
  4. Step 4: Simplify right side
    21,576x = 1,149,413,409
  5. Step 5: Solve for x
    x = 1,149,413,409/21,576
  6. Step 6: Final answer
    x = 53,272.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.