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Finding the Third Proportional to 33,082 and 78,029

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Solution

The third proportional to 33,082 and 78,029 is: 184,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082 : 78,029 = 78,029 : x
  2. Step 2: Convert to fraction form
    33,082/78,029 = 78,029/x
  3. Step 3: Cross multiply
    33,082x = 78,029 × 78,029
  4. Step 4: Simplify right side
    33,082x = 6,088,524,841
  5. Step 5: Solve for x
    x = 6,088,524,841/33,082
  6. Step 6: Final answer
    x = 184,043.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.