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Finding the Third Proportional to 18,743 and 40,942

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Solution

The third proportional to 18,743 and 40,942 is: 89,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,743 : 40,942 = 40,942 : x
  2. Step 2: Convert to fraction form
    18,743/40,942 = 40,942/x
  3. Step 3: Cross multiply
    18,743x = 40,942 × 40,942
  4. Step 4: Simplify right side
    18,743x = 1,676,247,364
  5. Step 5: Solve for x
    x = 1,676,247,364/18,743
  6. Step 6: Final answer
    x = 89,433.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.