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Finding the Third Proportional to 13,241 and 21,077

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Solution

The third proportional to 13,241 and 21,077 is: 33,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241 : 21,077 = 21,077 : x
  2. Step 2: Convert to fraction form
    13,241/21,077 = 21,077/x
  3. Step 3: Cross multiply
    13,241x = 21,077 × 21,077
  4. Step 4: Simplify right side
    13,241x = 444,239,929
  5. Step 5: Solve for x
    x = 444,239,929/13,241
  6. Step 6: Final answer
    x = 33,550.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.