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Finding the Third Proportional to 33,118.45 and 71,734.78

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Solution

The third proportional to 33,118.45 and 71,734.78 is: 155,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,118.45 : 71,734.78 = 71,734.78 : x
  2. Step 2: Convert to fraction form
    33,118.45/71,734.78 = 71,734.78/x
  3. Step 3: Cross multiply
    33,118.45x = 71,734.78 × 71,734.78
  4. Step 4: Simplify right side
    33,118.45x = 5,145,878,840.99
  5. Step 5: Solve for x
    x = 5,145,878,840.99/33,118.45
  6. Step 6: Final answer
    x = 155,377.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.