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Finding the Third Proportional to 17,969 and 27,203

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Solution

The third proportional to 17,969 and 27,203 is: 41,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 27,203 = 27,203 : x
  2. Step 2: Convert to fraction form
    17,969/27,203 = 27,203/x
  3. Step 3: Cross multiply
    17,969x = 27,203 × 27,203
  4. Step 4: Simplify right side
    17,969x = 740,003,209
  5. Step 5: Solve for x
    x = 740,003,209/17,969
  6. Step 6: Final answer
    x = 41,182.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.