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Finding the Third Proportional to 38,401 and 60,110

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Solution

The third proportional to 38,401 and 60,110 is: 94,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401 : 60,110 = 60,110 : x
  2. Step 2: Convert to fraction form
    38,401/60,110 = 60,110/x
  3. Step 3: Cross multiply
    38,401x = 60,110 × 60,110
  4. Step 4: Simplify right side
    38,401x = 3,613,212,100
  5. Step 5: Solve for x
    x = 3,613,212,100/38,401
  6. Step 6: Final answer
    x = 94,091.61

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Why These Related Problems?

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