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Finding the Third Proportional to 11,559 and 17,933

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Solution

The third proportional to 11,559 and 17,933 is: 27,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 17,933 = 17,933 : x
  2. Step 2: Convert to fraction form
    11,559/17,933 = 17,933/x
  3. Step 3: Cross multiply
    11,559x = 17,933 × 17,933
  4. Step 4: Simplify right side
    11,559x = 321,592,489
  5. Step 5: Solve for x
    x = 321,592,489/11,559
  6. Step 6: Final answer
    x = 27,821.83

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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.