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Finding the Third Proportional to 33,454 and 69,676

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Solution

The third proportional to 33,454 and 69,676 is: 145,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 69,676 = 69,676 : x
  2. Step 2: Convert to fraction form
    33,454/69,676 = 69,676/x
  3. Step 3: Cross multiply
    33,454x = 69,676 × 69,676
  4. Step 4: Simplify right side
    33,454x = 4,854,744,976
  5. Step 5: Solve for x
    x = 4,854,744,976/33,454
  6. Step 6: Final answer
    x = 145,117.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.