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Finding the Third Proportional to 38,897 and 85,325

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Solution

The third proportional to 38,897 and 85,325 is: 187,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 85,325 = 85,325 : x
  2. Step 2: Convert to fraction form
    38,897/85,325 = 85,325/x
  3. Step 3: Cross multiply
    38,897x = 85,325 × 85,325
  4. Step 4: Simplify right side
    38,897x = 7,280,355,625
  5. Step 5: Solve for x
    x = 7,280,355,625/38,897
  6. Step 6: Final answer
    x = 187,170.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.