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Finding the Third Proportional to 27,279 and 37,029

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Solution

The third proportional to 27,279 and 37,029 is: 50,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,279 : 37,029 = 37,029 : x
  2. Step 2: Convert to fraction form
    27,279/37,029 = 37,029/x
  3. Step 3: Cross multiply
    27,279x = 37,029 × 37,029
  4. Step 4: Simplify right side
    27,279x = 1,371,146,841
  5. Step 5: Solve for x
    x = 1,371,146,841/27,279
  6. Step 6: Final answer
    x = 50,263.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.