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Finding the Third Proportional to 33,984 and 51,725

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Solution

The third proportional to 33,984 and 51,725 is: 78,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 51,725 = 51,725 : x
  2. Step 2: Convert to fraction form
    33,984/51,725 = 51,725/x
  3. Step 3: Cross multiply
    33,984x = 51,725 × 51,725
  4. Step 4: Simplify right side
    33,984x = 2,675,475,625
  5. Step 5: Solve for x
    x = 2,675,475,625/33,984
  6. Step 6: Final answer
    x = 78,727.51

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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.