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Finding the Third Proportional to 21,494 and 32,879

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Solution

The third proportional to 21,494 and 32,879 is: 50,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494 : 32,879 = 32,879 : x
  2. Step 2: Convert to fraction form
    21,494/32,879 = 32,879/x
  3. Step 3: Cross multiply
    21,494x = 32,879 × 32,879
  4. Step 4: Simplify right side
    21,494x = 1,081,028,641
  5. Step 5: Solve for x
    x = 1,081,028,641/21,494
  6. Step 6: Final answer
    x = 50,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.