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Finding the Third Proportional to 33,146.72 and 51,394.50

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Solution

The third proportional to 33,146.72 and 51,394.50 is: 79,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.72 : 51,394.50 = 51,394.50 : x
  2. Step 2: Convert to fraction form
    33,146.72/51,394.50 = 51,394.50/x
  3. Step 3: Cross multiply
    33,146.72x = 51,394.50 × 51,394.50
  4. Step 4: Simplify right side
    33,146.72x = 2,641,394,630.25
  5. Step 5: Solve for x
    x = 2,641,394,630.25/33,146.72
  6. Step 6: Final answer
    x = 79,687.97

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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.