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Finding the Third Proportional to 21,524 and 33,634

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Solution

The third proportional to 21,524 and 33,634 is: 52,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524 : 33,634 = 33,634 : x
  2. Step 2: Convert to fraction form
    21,524/33,634 = 33,634/x
  3. Step 3: Cross multiply
    21,524x = 33,634 × 33,634
  4. Step 4: Simplify right side
    21,524x = 1,131,245,956
  5. Step 5: Solve for x
    x = 1,131,245,956/21,524
  6. Step 6: Final answer
    x = 52,557.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.