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Finding the Third Proportional to 33,510 and 51,921

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Solution

The third proportional to 33,510 and 51,921 is: 80,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,510 : 51,921 = 51,921 : x
  2. Step 2: Convert to fraction form
    33,510/51,921 = 51,921/x
  3. Step 3: Cross multiply
    33,510x = 51,921 × 51,921
  4. Step 4: Simplify right side
    33,510x = 2,695,790,241
  5. Step 5: Solve for x
    x = 2,695,790,241/33,510
  6. Step 6: Final answer
    x = 80,447.34

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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.