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Finding the Third Proportional to 33,893.44 and 51,531.19

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Solution

The third proportional to 33,893.44 and 51,531.19 is: 78,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893.44 : 51,531.19 = 51,531.19 : x
  2. Step 2: Convert to fraction form
    33,893.44/51,531.19 = 51,531.19/x
  3. Step 3: Cross multiply
    33,893.44x = 51,531.19 × 51,531.19
  4. Step 4: Simplify right side
    33,893.44x = 2,655,463,285.16
  5. Step 5: Solve for x
    x = 2,655,463,285.16/33,893.44
  6. Step 6: Final answer
    x = 78,347.42

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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.