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Finding the Third Proportional to 37,769 and 82,279

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Solution

The third proportional to 37,769 and 82,279 is: 179,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769 : 82,279 = 82,279 : x
  2. Step 2: Convert to fraction form
    37,769/82,279 = 82,279/x
  3. Step 3: Cross multiply
    37,769x = 82,279 × 82,279
  4. Step 4: Simplify right side
    37,769x = 6,769,833,841
  5. Step 5: Solve for x
    x = 6,769,833,841/37,769
  6. Step 6: Final answer
    x = 179,243.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.