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Finding the Third Proportional to 33,841.50 and 51,464.25

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Solution

The third proportional to 33,841.50 and 51,464.25 is: 78,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.50 : 51,464.25 = 51,464.25 : x
  2. Step 2: Convert to fraction form
    33,841.50/51,464.25 = 51,464.25/x
  3. Step 3: Cross multiply
    33,841.50x = 51,464.25 × 51,464.25
  4. Step 4: Simplify right side
    33,841.50x = 2,648,569,028.06
  5. Step 5: Solve for x
    x = 2,648,569,028.06/33,841.50
  6. Step 6: Final answer
    x = 78,263.94

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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.