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Finding the Third Proportional to 21,525 and 33,563

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Solution

The third proportional to 21,525 and 33,563 is: 52,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525 : 33,563 = 33,563 : x
  2. Step 2: Convert to fraction form
    21,525/33,563 = 33,563/x
  3. Step 3: Cross multiply
    21,525x = 33,563 × 33,563
  4. Step 4: Simplify right side
    21,525x = 1,126,474,969
  5. Step 5: Solve for x
    x = 1,126,474,969/21,525
  6. Step 6: Final answer
    x = 52,333.33

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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.