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Finding the Third Proportional to 40,884 and 54,942

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Solution

The third proportional to 40,884 and 54,942 is: 73,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884 : 54,942 = 54,942 : x
  2. Step 2: Convert to fraction form
    40,884/54,942 = 54,942/x
  3. Step 3: Cross multiply
    40,884x = 54,942 × 54,942
  4. Step 4: Simplify right side
    40,884x = 3,018,623,364
  5. Step 5: Solve for x
    x = 3,018,623,364/40,884
  6. Step 6: Final answer
    x = 73,833.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.