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Finding the Third Proportional to 20,121 and 33,341

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Solution

The third proportional to 20,121 and 33,341 is: 55,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 33,341 = 33,341 : x
  2. Step 2: Convert to fraction form
    20,121/33,341 = 33,341/x
  3. Step 3: Cross multiply
    20,121x = 33,341 × 33,341
  4. Step 4: Simplify right side
    20,121x = 1,111,622,281
  5. Step 5: Solve for x
    x = 1,111,622,281/20,121
  6. Step 6: Final answer
    x = 55,246.87

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.