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Finding the Third Proportional to 38,927 and 55,474

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Solution

The third proportional to 38,927 and 55,474 is: 79,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,927 : 55,474 = 55,474 : x
  2. Step 2: Convert to fraction form
    38,927/55,474 = 55,474/x
  3. Step 3: Cross multiply
    38,927x = 55,474 × 55,474
  4. Step 4: Simplify right side
    38,927x = 3,077,364,676
  5. Step 5: Solve for x
    x = 3,077,364,676/38,927
  6. Step 6: Final answer
    x = 79,054.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.