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Finding the Third Proportional to 33,381 and 51,543

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Solution

The third proportional to 33,381 and 51,543 is: 79,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 51,543 = 51,543 : x
  2. Step 2: Convert to fraction form
    33,381/51,543 = 51,543/x
  3. Step 3: Cross multiply
    33,381x = 51,543 × 51,543
  4. Step 4: Simplify right side
    33,381x = 2,656,680,849
  5. Step 5: Solve for x
    x = 2,656,680,849/33,381
  6. Step 6: Final answer
    x = 79,586.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.