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Finding the Third Proportional to 38,692 and 57,894

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Solution

The third proportional to 38,692 and 57,894 is: 86,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692 : 57,894 = 57,894 : x
  2. Step 2: Convert to fraction form
    38,692/57,894 = 57,894/x
  3. Step 3: Cross multiply
    38,692x = 57,894 × 57,894
  4. Step 4: Simplify right side
    38,692x = 3,351,715,236
  5. Step 5: Solve for x
    x = 3,351,715,236/38,692
  6. Step 6: Final answer
    x = 86,625.54

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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.