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Finding the Third Proportional to 33,852 and 51,498

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Solution

The third proportional to 33,852 and 51,498 is: 78,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852 : 51,498 = 51,498 : x
  2. Step 2: Convert to fraction form
    33,852/51,498 = 51,498/x
  3. Step 3: Cross multiply
    33,852x = 51,498 × 51,498
  4. Step 4: Simplify right side
    33,852x = 2,652,044,004
  5. Step 5: Solve for x
    x = 2,652,044,004/33,852
  6. Step 6: Final answer
    x = 78,342.31

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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.