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Finding the Third Proportional to 33,918.38 and 49,861.22

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Solution

The third proportional to 33,918.38 and 49,861.22 is: 73,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918.38 : 49,861.22 = 49,861.22 : x
  2. Step 2: Convert to fraction form
    33,918.38/49,861.22 = 49,861.22/x
  3. Step 3: Cross multiply
    33,918.38x = 49,861.22 × 49,861.22
  4. Step 4: Simplify right side
    33,918.38x = 2,486,141,135.24
  5. Step 5: Solve for x
    x = 2,486,141,135.24/33,918.38
  6. Step 6: Final answer
    x = 73,297.77

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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.