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Finding the Third Proportional to 29,950 and 49,912

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Solution

The third proportional to 29,950 and 49,912 is: 83,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,950 : 49,912 = 49,912 : x
  2. Step 2: Convert to fraction form
    29,950/49,912 = 49,912/x
  3. Step 3: Cross multiply
    29,950x = 49,912 × 49,912
  4. Step 4: Simplify right side
    29,950x = 2,491,207,744
  5. Step 5: Solve for x
    x = 2,491,207,744/29,950
  6. Step 6: Final answer
    x = 83,178.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.