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Finding the Third Proportional to 29,965 and 43,165

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Solution

The third proportional to 29,965 and 43,165 is: 62,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965 : 43,165 = 43,165 : x
  2. Step 2: Convert to fraction form
    29,965/43,165 = 43,165/x
  3. Step 3: Cross multiply
    29,965x = 43,165 × 43,165
  4. Step 4: Simplify right side
    29,965x = 1,863,217,225
  5. Step 5: Solve for x
    x = 1,863,217,225/29,965
  6. Step 6: Final answer
    x = 62,179.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.