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Finding the Third Proportional to 21,849 and 33,176.25

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Solution

The third proportional to 21,849 and 33,176.25 is: 50,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849 : 33,176.25 = 33,176.25 : x
  2. Step 2: Convert to fraction form
    21,849/33,176.25 = 33,176.25/x
  3. Step 3: Cross multiply
    21,849x = 33,176.25 × 33,176.25
  4. Step 4: Simplify right side
    21,849x = 1,100,663,564.06
  5. Step 5: Solve for x
    x = 1,100,663,564.06/21,849
  6. Step 6: Final answer
    x = 50,375.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.