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Finding the Third Proportional to 33,230 and 73,048

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Solution

The third proportional to 33,230 and 73,048 is: 160,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230 : 73,048 = 73,048 : x
  2. Step 2: Convert to fraction form
    33,230/73,048 = 73,048/x
  3. Step 3: Cross multiply
    33,230x = 73,048 × 73,048
  4. Step 4: Simplify right side
    33,230x = 5,336,010,304
  5. Step 5: Solve for x
    x = 5,336,010,304/33,230
  6. Step 6: Final answer
    x = 160,578.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.