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Finding the Third Proportional to 38,495 and 80,050

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Solution

The third proportional to 38,495 and 80,050 is: 166,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495 : 80,050 = 80,050 : x
  2. Step 2: Convert to fraction form
    38,495/80,050 = 80,050/x
  3. Step 3: Cross multiply
    38,495x = 80,050 × 80,050
  4. Step 4: Simplify right side
    38,495x = 6,408,002,500
  5. Step 5: Solve for x
    x = 6,408,002,500/38,495
  6. Step 6: Final answer
    x = 166,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.