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Finding the Third Proportional to 38,400 and 60,108

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Solution

The third proportional to 38,400 and 60,108 is: 94,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 60,108 = 60,108 : x
  2. Step 2: Convert to fraction form
    38,400/60,108 = 60,108/x
  3. Step 3: Cross multiply
    38,400x = 60,108 × 60,108
  4. Step 4: Simplify right side
    38,400x = 3,612,971,664
  5. Step 5: Solve for x
    x = 3,612,971,664/38,400
  6. Step 6: Final answer
    x = 94,087.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.