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Finding the Third Proportional to 33,267 and 71,809.50

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Solution

The third proportional to 33,267 and 71,809.50 is: 155,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,267 : 71,809.50 = 71,809.50 : x
  2. Step 2: Convert to fraction form
    33,267/71,809.50 = 71,809.50/x
  3. Step 3: Cross multiply
    33,267x = 71,809.50 × 71,809.50
  4. Step 4: Simplify right side
    33,267x = 5,156,604,290.25
  5. Step 5: Solve for x
    x = 5,156,604,290.25/33,267
  6. Step 6: Final answer
    x = 155,006.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.