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Finding the Third Proportional to 33,347 and 51,618.50

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Solution

The third proportional to 33,347 and 51,618.50 is: 79,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,347 : 51,618.50 = 51,618.50 : x
  2. Step 2: Convert to fraction form
    33,347/51,618.50 = 51,618.50/x
  3. Step 3: Cross multiply
    33,347x = 51,618.50 × 51,618.50
  4. Step 4: Simplify right side
    33,347x = 2,664,469,542.25
  5. Step 5: Solve for x
    x = 2,664,469,542.25/33,347
  6. Step 6: Final answer
    x = 79,901.33

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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.