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Finding the Third Proportional to 38,305 and 59,450

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Solution

The third proportional to 38,305 and 59,450 is: 92,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305 : 59,450 = 59,450 : x
  2. Step 2: Convert to fraction form
    38,305/59,450 = 59,450/x
  3. Step 3: Cross multiply
    38,305x = 59,450 × 59,450
  4. Step 4: Simplify right side
    38,305x = 3,534,302,500
  5. Step 5: Solve for x
    x = 3,534,302,500/38,305
  6. Step 6: Final answer
    x = 92,267.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.