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Finding the Third Proportional to 33,437 and 51,941

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Solution

The third proportional to 33,437 and 51,941 is: 80,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437 : 51,941 = 51,941 : x
  2. Step 2: Convert to fraction form
    33,437/51,941 = 51,941/x
  3. Step 3: Cross multiply
    33,437x = 51,941 × 51,941
  4. Step 4: Simplify right side
    33,437x = 2,697,867,481
  5. Step 5: Solve for x
    x = 2,697,867,481/33,437
  6. Step 6: Final answer
    x = 80,685.09

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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.