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Finding the Third Proportional to 21,522 and 50,889

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Solution

The third proportional to 21,522 and 50,889 is: 120,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522 : 50,889 = 50,889 : x
  2. Step 2: Convert to fraction form
    21,522/50,889 = 50,889/x
  3. Step 3: Cross multiply
    21,522x = 50,889 × 50,889
  4. Step 4: Simplify right side
    21,522x = 2,589,690,321
  5. Step 5: Solve for x
    x = 2,589,690,321/21,522
  6. Step 6: Final answer
    x = 120,327.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.