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Finding the Third Proportional to 21,272 and 33,456

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Solution

The third proportional to 21,272 and 33,456 is: 52,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272 : 33,456 = 33,456 : x
  2. Step 2: Convert to fraction form
    21,272/33,456 = 33,456/x
  3. Step 3: Cross multiply
    21,272x = 33,456 × 33,456
  4. Step 4: Simplify right side
    21,272x = 1,119,303,936
  5. Step 5: Solve for x
    x = 1,119,303,936/21,272
  6. Step 6: Final answer
    x = 52,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.