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Finding the Third Proportional to 38,934 and 60,225

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Solution

The third proportional to 38,934 and 60,225 is: 93,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934 : 60,225 = 60,225 : x
  2. Step 2: Convert to fraction form
    38,934/60,225 = 60,225/x
  3. Step 3: Cross multiply
    38,934x = 60,225 × 60,225
  4. Step 4: Simplify right side
    38,934x = 3,627,050,625
  5. Step 5: Solve for x
    x = 3,627,050,625/38,934
  6. Step 6: Final answer
    x = 93,158.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.