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Finding the Third Proportional to 33,406.25 and 51,369.50

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Solution

The third proportional to 33,406.25 and 51,369.50 is: 78,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.25 : 51,369.50 = 51,369.50 : x
  2. Step 2: Convert to fraction form
    33,406.25/51,369.50 = 51,369.50/x
  3. Step 3: Cross multiply
    33,406.25x = 51,369.50 × 51,369.50
  4. Step 4: Simplify right side
    33,406.25x = 2,638,825,530.25
  5. Step 5: Solve for x
    x = 2,638,825,530.25/33,406.25
  6. Step 6: Final answer
    x = 78,991.97

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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.