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Finding the Third Proportional to 18,322 and 40,163

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Solution

The third proportional to 18,322 and 40,163 is: 88,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322 : 40,163 = 40,163 : x
  2. Step 2: Convert to fraction form
    18,322/40,163 = 40,163/x
  3. Step 3: Cross multiply
    18,322x = 40,163 × 40,163
  4. Step 4: Simplify right side
    18,322x = 1,613,066,569
  5. Step 5: Solve for x
    x = 1,613,066,569/18,322
  6. Step 6: Final answer
    x = 88,039.87

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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.