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Finding the Third Proportional to 33,679 and 56,129

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Solution

The third proportional to 33,679 and 56,129 is: 93,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,679 : 56,129 = 56,129 : x
  2. Step 2: Convert to fraction form
    33,679/56,129 = 56,129/x
  3. Step 3: Cross multiply
    33,679x = 56,129 × 56,129
  4. Step 4: Simplify right side
    33,679x = 3,150,464,641
  5. Step 5: Solve for x
    x = 3,150,464,641/33,679
  6. Step 6: Final answer
    x = 93,543.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.