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Finding the Third Proportional to 33,391.50 and 51,347.25

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Solution

The third proportional to 33,391.50 and 51,347.25 is: 78,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,391.50 : 51,347.25 = 51,347.25 : x
  2. Step 2: Convert to fraction form
    33,391.50/51,347.25 = 51,347.25/x
  3. Step 3: Cross multiply
    33,391.50x = 51,347.25 × 51,347.25
  4. Step 4: Simplify right side
    33,391.50x = 2,636,540,082.56
  5. Step 5: Solve for x
    x = 2,636,540,082.56/33,391.50
  6. Step 6: Final answer
    x = 78,958.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.