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Finding the Third Proportional to 36,744.75 and 55,014.75

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Solution

The third proportional to 36,744.75 and 55,014.75 is: 82,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744.75 : 55,014.75 = 55,014.75 : x
  2. Step 2: Convert to fraction form
    36,744.75/55,014.75 = 55,014.75/x
  3. Step 3: Cross multiply
    36,744.75x = 55,014.75 × 55,014.75
  4. Step 4: Simplify right side
    36,744.75x = 3,026,622,717.56
  5. Step 5: Solve for x
    x = 3,026,622,717.56/36,744.75
  6. Step 6: Final answer
    x = 82,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.