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Finding the Third Proportional to 39,813 and 60,234

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Solution

The third proportional to 39,813 and 60,234 is: 91,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,813 : 60,234 = 60,234 : x
  2. Step 2: Convert to fraction form
    39,813/60,234 = 60,234/x
  3. Step 3: Cross multiply
    39,813x = 60,234 × 60,234
  4. Step 4: Simplify right side
    39,813x = 3,628,134,756
  5. Step 5: Solve for x
    x = 3,628,134,756/39,813
  6. Step 6: Final answer
    x = 91,129.40

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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.