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Finding the Third Proportional to 38,185 and 58,087

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Solution

The third proportional to 38,185 and 58,087 is: 88,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185 : 58,087 = 58,087 : x
  2. Step 2: Convert to fraction form
    38,185/58,087 = 58,087/x
  3. Step 3: Cross multiply
    38,185x = 58,087 × 58,087
  4. Step 4: Simplify right side
    38,185x = 3,374,099,569
  5. Step 5: Solve for x
    x = 3,374,099,569/38,185
  6. Step 6: Final answer
    x = 88,361.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.