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Finding the Third Proportional to 33,906 and 51,039

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Solution

The third proportional to 33,906 and 51,039 is: 76,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906 : 51,039 = 51,039 : x
  2. Step 2: Convert to fraction form
    33,906/51,039 = 51,039/x
  3. Step 3: Cross multiply
    33,906x = 51,039 × 51,039
  4. Step 4: Simplify right side
    33,906x = 2,604,979,521
  5. Step 5: Solve for x
    x = 2,604,979,521/33,906
  6. Step 6: Final answer
    x = 76,829.46

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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.