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Finding the Third Proportional to 17,722 and 27,211

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Solution

The third proportional to 17,722 and 27,211 is: 41,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 27,211 = 27,211 : x
  2. Step 2: Convert to fraction form
    17,722/27,211 = 27,211/x
  3. Step 3: Cross multiply
    17,722x = 27,211 × 27,211
  4. Step 4: Simplify right side
    17,722x = 740,438,521
  5. Step 5: Solve for x
    x = 740,438,521/17,722
  6. Step 6: Final answer
    x = 41,780.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.