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Finding the Third Proportional to 18,310 and 40,183

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Solution

The third proportional to 18,310 and 40,183 is: 88,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310 : 40,183 = 40,183 : x
  2. Step 2: Convert to fraction form
    18,310/40,183 = 40,183/x
  3. Step 3: Cross multiply
    18,310x = 40,183 × 40,183
  4. Step 4: Simplify right side
    18,310x = 1,614,673,489
  5. Step 5: Solve for x
    x = 1,614,673,489/18,310
  6. Step 6: Final answer
    x = 88,185.34

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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.