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Finding the Third Proportional to 33,813 and 48,062

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Solution

The third proportional to 33,813 and 48,062 is: 68,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813 : 48,062 = 48,062 : x
  2. Step 2: Convert to fraction form
    33,813/48,062 = 48,062/x
  3. Step 3: Cross multiply
    33,813x = 48,062 × 48,062
  4. Step 4: Simplify right side
    33,813x = 2,309,955,844
  5. Step 5: Solve for x
    x = 2,309,955,844/33,813
  6. Step 6: Final answer
    x = 68,315.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.