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Finding the Third Proportional to 38,296 and 57,214

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Solution

The third proportional to 38,296 and 57,214 is: 85,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296 : 57,214 = 57,214 : x
  2. Step 2: Convert to fraction form
    38,296/57,214 = 57,214/x
  3. Step 3: Cross multiply
    38,296x = 57,214 × 57,214
  4. Step 4: Simplify right side
    38,296x = 3,273,441,796
  5. Step 5: Solve for x
    x = 3,273,441,796/38,296
  6. Step 6: Final answer
    x = 85,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.