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Finding the Third Proportional to 38,738 and 85,252

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Solution

The third proportional to 38,738 and 85,252 is: 187,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738 : 85,252 = 85,252 : x
  2. Step 2: Convert to fraction form
    38,738/85,252 = 85,252/x
  3. Step 3: Cross multiply
    38,738x = 85,252 × 85,252
  4. Step 4: Simplify right side
    38,738x = 7,267,903,504
  5. Step 5: Solve for x
    x = 7,267,903,504/38,738
  6. Step 6: Final answer
    x = 187,616.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.