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Finding the Third Proportional to 33,682 and 51,550

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Solution

The third proportional to 33,682 and 51,550 is: 78,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682 : 51,550 = 51,550 : x
  2. Step 2: Convert to fraction form
    33,682/51,550 = 51,550/x
  3. Step 3: Cross multiply
    33,682x = 51,550 × 51,550
  4. Step 4: Simplify right side
    33,682x = 2,657,402,500
  5. Step 5: Solve for x
    x = 2,657,402,500/33,682
  6. Step 6: Final answer
    x = 78,896.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.