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Finding the Third Proportional to 33,377.25 and 51,663.75

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Solution

The third proportional to 33,377.25 and 51,663.75 is: 79,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,377.25 : 51,663.75 = 51,663.75 : x
  2. Step 2: Convert to fraction form
    33,377.25/51,663.75 = 51,663.75/x
  3. Step 3: Cross multiply
    33,377.25x = 51,663.75 × 51,663.75
  4. Step 4: Simplify right side
    33,377.25x = 2,669,143,064.06
  5. Step 5: Solve for x
    x = 2,669,143,064.06/33,377.25
  6. Step 6: Final answer
    x = 79,968.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.