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Finding the Third Proportional to 32,489 and 71,183

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Solution

The third proportional to 32,489 and 71,183 is: 155,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489 : 71,183 = 71,183 : x
  2. Step 2: Convert to fraction form
    32,489/71,183 = 71,183/x
  3. Step 3: Cross multiply
    32,489x = 71,183 × 71,183
  4. Step 4: Simplify right side
    32,489x = 5,067,019,489
  5. Step 5: Solve for x
    x = 5,067,019,489/32,489
  6. Step 6: Final answer
    x = 155,961.08

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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.