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Finding the Third Proportional to 38,863.50 and 57,474.38

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Solution

The third proportional to 38,863.50 and 57,474.38 is: 84,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.50 : 57,474.38 = 57,474.38 : x
  2. Step 2: Convert to fraction form
    38,863.50/57,474.38 = 57,474.38/x
  3. Step 3: Cross multiply
    38,863.50x = 57,474.38 × 57,474.38
  4. Step 4: Simplify right side
    38,863.50x = 3,303,303,781.64
  5. Step 5: Solve for x
    x = 3,303,303,781.64/38,863.50
  6. Step 6: Final answer
    x = 84,997.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.