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Finding the Third Proportional to 50,195.75 and 66,918.75

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Solution

The third proportional to 50,195.75 and 66,918.75 is: 89,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,195.75 : 66,918.75 = 66,918.75 : x
  2. Step 2: Convert to fraction form
    50,195.75/66,918.75 = 66,918.75/x
  3. Step 3: Cross multiply
    50,195.75x = 66,918.75 × 66,918.75
  4. Step 4: Simplify right side
    50,195.75x = 4,478,119,101.56
  5. Step 5: Solve for x
    x = 4,478,119,101.56/50,195.75
  6. Step 6: Final answer
    x = 89,213.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.