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Finding the Third Proportional to 33,285.75 and 72,714

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Solution

The third proportional to 33,285.75 and 72,714 is: 158,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285.75 : 72,714 = 72,714 : x
  2. Step 2: Convert to fraction form
    33,285.75/72,714 = 72,714/x
  3. Step 3: Cross multiply
    33,285.75x = 72,714 × 72,714
  4. Step 4: Simplify right side
    33,285.75x = 5,287,325,796
  5. Step 5: Solve for x
    x = 5,287,325,796/33,285.75
  6. Step 6: Final answer
    x = 158,846.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.