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Finding the Third Proportional to 21,821 and 47,125

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Solution

The third proportional to 21,821 and 47,125 is: 101,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821 : 47,125 = 47,125 : x
  2. Step 2: Convert to fraction form
    21,821/47,125 = 47,125/x
  3. Step 3: Cross multiply
    21,821x = 47,125 × 47,125
  4. Step 4: Simplify right side
    21,821x = 2,220,765,625
  5. Step 5: Solve for x
    x = 2,220,765,625/21,821
  6. Step 6: Final answer
    x = 101,771.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.