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Finding the Third Proportional to 37,287 and 54,170

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Solution

The third proportional to 37,287 and 54,170 is: 78,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287 : 54,170 = 54,170 : x
  2. Step 2: Convert to fraction form
    37,287/54,170 = 54,170/x
  3. Step 3: Cross multiply
    37,287x = 54,170 × 54,170
  4. Step 4: Simplify right side
    37,287x = 2,934,388,900
  5. Step 5: Solve for x
    x = 2,934,388,900/37,287
  6. Step 6: Final answer
    x = 78,697.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.