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Finding the Third Proportional to 33,855 and 51,537.50

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Solution

The third proportional to 33,855 and 51,537.50 is: 78,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,855 : 51,537.50 = 51,537.50 : x
  2. Step 2: Convert to fraction form
    33,855/51,537.50 = 51,537.50/x
  3. Step 3: Cross multiply
    33,855x = 51,537.50 × 51,537.50
  4. Step 4: Simplify right side
    33,855x = 2,656,113,906.25
  5. Step 5: Solve for x
    x = 2,656,113,906.25/33,855
  6. Step 6: Final answer
    x = 78,455.59

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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.