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Finding the Third Proportional to 41,884 and 73,860

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Solution

The third proportional to 41,884 and 73,860 is: 130,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 73,860 = 73,860 : x
  2. Step 2: Convert to fraction form
    41,884/73,860 = 73,860/x
  3. Step 3: Cross multiply
    41,884x = 73,860 × 73,860
  4. Step 4: Simplify right side
    41,884x = 5,455,299,600
  5. Step 5: Solve for x
    x = 5,455,299,600/41,884
  6. Step 6: Final answer
    x = 130,247.82

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.