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Finding the Third Proportional to 15,138 and 27,279

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Solution

The third proportional to 15,138 and 27,279 is: 49,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138 : 27,279 = 27,279 : x
  2. Step 2: Convert to fraction form
    15,138/27,279 = 27,279/x
  3. Step 3: Cross multiply
    15,138x = 27,279 × 27,279
  4. Step 4: Simplify right side
    15,138x = 744,143,841
  5. Step 5: Solve for x
    x = 744,143,841/15,138
  6. Step 6: Final answer
    x = 49,157.34

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.