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Finding the Third Proportional to 21,272 and 33,668

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Solution

The third proportional to 21,272 and 33,668 is: 53,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272 : 33,668 = 33,668 : x
  2. Step 2: Convert to fraction form
    21,272/33,668 = 33,668/x
  3. Step 3: Cross multiply
    21,272x = 33,668 × 33,668
  4. Step 4: Simplify right side
    21,272x = 1,133,534,224
  5. Step 5: Solve for x
    x = 1,133,534,224/21,272
  6. Step 6: Final answer
    x = 53,287.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.