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Finding the Third Proportional to 38,900 and 60,350

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Solution

The third proportional to 38,900 and 60,350 is: 93,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 60,350 = 60,350 : x
  2. Step 2: Convert to fraction form
    38,900/60,350 = 60,350/x
  3. Step 3: Cross multiply
    38,900x = 60,350 × 60,350
  4. Step 4: Simplify right side
    38,900x = 3,642,122,500
  5. Step 5: Solve for x
    x = 3,642,122,500/38,900
  6. Step 6: Final answer
    x = 93,627.83

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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.