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Finding the Third Proportional to 39,738 and 60,011

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Solution

The third proportional to 39,738 and 60,011 is: 90,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,738 : 60,011 = 60,011 : x
  2. Step 2: Convert to fraction form
    39,738/60,011 = 60,011/x
  3. Step 3: Cross multiply
    39,738x = 60,011 × 60,011
  4. Step 4: Simplify right side
    39,738x = 3,601,320,121
  5. Step 5: Solve for x
    x = 3,601,320,121/39,738
  6. Step 6: Final answer
    x = 90,626.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.