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Finding the Third Proportional to 38,174 and 57,084

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Solution

The third proportional to 38,174 and 57,084 is: 85,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174 : 57,084 = 57,084 : x
  2. Step 2: Convert to fraction form
    38,174/57,084 = 57,084/x
  3. Step 3: Cross multiply
    38,174x = 57,084 × 57,084
  4. Step 4: Simplify right side
    38,174x = 3,258,583,056
  5. Step 5: Solve for x
    x = 3,258,583,056/38,174
  6. Step 6: Final answer
    x = 85,361.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.