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Finding the Third Proportional to 36,556.31 and 78,551.44

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Solution

The third proportional to 36,556.31 and 78,551.44 is: 168,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,556.31 : 78,551.44 = 78,551.44 : x
  2. Step 2: Convert to fraction form
    36,556.31/78,551.44 = 78,551.44/x
  3. Step 3: Cross multiply
    36,556.31x = 78,551.44 × 78,551.44
  4. Step 4: Simplify right side
    36,556.31x = 6,170,328,333.32
  5. Step 5: Solve for x
    x = 6,170,328,333.32/36,556.31
  6. Step 6: Final answer
    x = 168,789.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.