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Finding the Third Proportional to 33,745 and 51,641

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Solution

The third proportional to 33,745 and 51,641 is: 79,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745 : 51,641 = 51,641 : x
  2. Step 2: Convert to fraction form
    33,745/51,641 = 51,641/x
  3. Step 3: Cross multiply
    33,745x = 51,641 × 51,641
  4. Step 4: Simplify right side
    33,745x = 2,666,792,881
  5. Step 5: Solve for x
    x = 2,666,792,881/33,745
  6. Step 6: Final answer
    x = 79,027.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.