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Finding the Third Proportional to 33,412 and 49,025

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Solution

The third proportional to 33,412 and 49,025 is: 71,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412 : 49,025 = 49,025 : x
  2. Step 2: Convert to fraction form
    33,412/49,025 = 49,025/x
  3. Step 3: Cross multiply
    33,412x = 49,025 × 49,025
  4. Step 4: Simplify right side
    33,412x = 2,403,450,625
  5. Step 5: Solve for x
    x = 2,403,450,625/33,412
  6. Step 6: Final answer
    x = 71,933.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.