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Finding the Third Proportional to 33,945.19 and 51,464.53

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Solution

The third proportional to 33,945.19 and 51,464.53 is: 78,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,945.19 : 51,464.53 = 51,464.53 : x
  2. Step 2: Convert to fraction form
    33,945.19/51,464.53 = 51,464.53/x
  3. Step 3: Cross multiply
    33,945.19x = 51,464.53 × 51,464.53
  4. Step 4: Simplify right side
    33,945.19x = 2,648,597,976.78
  5. Step 5: Solve for x
    x = 2,648,597,976.78/33,945.19
  6. Step 6: Final answer
    x = 78,025.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.