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Finding the Third Proportional to 27,984 and 60,108

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Solution

The third proportional to 27,984 and 60,108 is: 129,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984 : 60,108 = 60,108 : x
  2. Step 2: Convert to fraction form
    27,984/60,108 = 60,108/x
  3. Step 3: Cross multiply
    27,984x = 60,108 × 60,108
  4. Step 4: Simplify right side
    27,984x = 3,612,971,664
  5. Step 5: Solve for x
    x = 3,612,971,664/27,984
  6. Step 6: Final answer
    x = 129,108.48

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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.