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Finding the Third Proportional to 32,147 and 48,189

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Solution

The third proportional to 32,147 and 48,189 is: 72,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147 : 48,189 = 48,189 : x
  2. Step 2: Convert to fraction form
    32,147/48,189 = 48,189/x
  3. Step 3: Cross multiply
    32,147x = 48,189 × 48,189
  4. Step 4: Simplify right side
    32,147x = 2,322,179,721
  5. Step 5: Solve for x
    x = 2,322,179,721/32,147
  6. Step 6: Final answer
    x = 72,236.28

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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.