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Finding the Third Proportional to 37,512 and 54,108

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Solution

The third proportional to 37,512 and 54,108 is: 78,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 54,108 = 54,108 : x
  2. Step 2: Convert to fraction form
    37,512/54,108 = 54,108/x
  3. Step 3: Cross multiply
    37,512x = 54,108 × 54,108
  4. Step 4: Simplify right side
    37,512x = 2,927,675,664
  5. Step 5: Solve for x
    x = 2,927,675,664/37,512
  6. Step 6: Final answer
    x = 78,046.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.