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Finding the Third Proportional to 33,832.69 and 51,348.94

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Solution

The third proportional to 33,832.69 and 51,348.94 is: 77,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.69 : 51,348.94 = 51,348.94 : x
  2. Step 2: Convert to fraction form
    33,832.69/51,348.94 = 51,348.94/x
  3. Step 3: Cross multiply
    33,832.69x = 51,348.94 × 51,348.94
  4. Step 4: Simplify right side
    33,832.69x = 2,636,713,382.38
  5. Step 5: Solve for x
    x = 2,636,713,382.38/33,832.69
  6. Step 6: Final answer
    x = 77,933.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.