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Finding the Third Proportional to 21,496 and 33,212

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Solution

The third proportional to 21,496 and 33,212 is: 51,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496 : 33,212 = 33,212 : x
  2. Step 2: Convert to fraction form
    21,496/33,212 = 33,212/x
  3. Step 3: Cross multiply
    21,496x = 33,212 × 33,212
  4. Step 4: Simplify right side
    21,496x = 1,103,036,944
  5. Step 5: Solve for x
    x = 1,103,036,944/21,496
  6. Step 6: Final answer
    x = 51,313.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.