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Finding the Third Proportional to 33,844 and 48,106

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Solution

The third proportional to 33,844 and 48,106 is: 68,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844 : 48,106 = 48,106 : x
  2. Step 2: Convert to fraction form
    33,844/48,106 = 48,106/x
  3. Step 3: Cross multiply
    33,844x = 48,106 × 48,106
  4. Step 4: Simplify right side
    33,844x = 2,314,187,236
  5. Step 5: Solve for x
    x = 2,314,187,236/33,844
  6. Step 6: Final answer
    x = 68,378.07

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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.