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Finding the Third Proportional to 38,158 and 55,979

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Solution

The third proportional to 38,158 and 55,979 is: 82,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,158 : 55,979 = 55,979 : x
  2. Step 2: Convert to fraction form
    38,158/55,979 = 55,979/x
  3. Step 3: Cross multiply
    38,158x = 55,979 × 55,979
  4. Step 4: Simplify right side
    38,158x = 3,133,648,441
  5. Step 5: Solve for x
    x = 3,133,648,441/38,158
  6. Step 6: Final answer
    x = 82,122.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.