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Finding the Third Proportional to 40,965.75 and 50,199.75

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Solution

The third proportional to 40,965.75 and 50,199.75 is: 61,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,965.75 : 50,199.75 = 50,199.75 : x
  2. Step 2: Convert to fraction form
    40,965.75/50,199.75 = 50,199.75/x
  3. Step 3: Cross multiply
    40,965.75x = 50,199.75 × 50,199.75
  4. Step 4: Simplify right side
    40,965.75x = 2,520,014,900.06
  5. Step 5: Solve for x
    x = 2,520,014,900.06/40,965.75
  6. Step 6: Final answer
    x = 61,515.17

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.