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Finding the Third Proportional to 33,330 and 46,876

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Solution

The third proportional to 33,330 and 46,876 is: 65,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,330 : 46,876 = 46,876 : x
  2. Step 2: Convert to fraction form
    33,330/46,876 = 46,876/x
  3. Step 3: Cross multiply
    33,330x = 46,876 × 46,876
  4. Step 4: Simplify right side
    33,330x = 2,197,359,376
  5. Step 5: Solve for x
    x = 2,197,359,376/33,330
  6. Step 6: Final answer
    x = 65,927.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.