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Finding the Third Proportional to 18,944 and 40,314

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Solution

The third proportional to 18,944 and 40,314 is: 85,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944 : 40,314 = 40,314 : x
  2. Step 2: Convert to fraction form
    18,944/40,314 = 40,314/x
  3. Step 3: Cross multiply
    18,944x = 40,314 × 40,314
  4. Step 4: Simplify right side
    18,944x = 1,625,218,596
  5. Step 5: Solve for x
    x = 1,625,218,596/18,944
  6. Step 6: Final answer
    x = 85,790.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.