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Finding the Third Proportional to 49,307 and 73,876

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Solution

The third proportional to 49,307 and 73,876 is: 110,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,307 : 73,876 = 73,876 : x
  2. Step 2: Convert to fraction form
    49,307/73,876 = 73,876/x
  3. Step 3: Cross multiply
    49,307x = 73,876 × 73,876
  4. Step 4: Simplify right side
    49,307x = 5,457,663,376
  5. Step 5: Solve for x
    x = 5,457,663,376/49,307
  6. Step 6: Final answer
    x = 110,687.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.