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Finding the Third Proportional to 33,485 and 51,905.50

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Solution

The third proportional to 33,485 and 51,905.50 is: 80,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,485 : 51,905.50 = 51,905.50 : x
  2. Step 2: Convert to fraction form
    33,485/51,905.50 = 51,905.50/x
  3. Step 3: Cross multiply
    33,485x = 51,905.50 × 51,905.50
  4. Step 4: Simplify right side
    33,485x = 2,694,180,930.25
  5. Step 5: Solve for x
    x = 2,694,180,930.25/33,485
  6. Step 6: Final answer
    x = 80,459.34

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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.