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Finding the Third Proportional to 36,780.75 and 55,019.25

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Solution

The third proportional to 36,780.75 and 55,019.25 is: 82,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780.75 : 55,019.25 = 55,019.25 : x
  2. Step 2: Convert to fraction form
    36,780.75/55,019.25 = 55,019.25/x
  3. Step 3: Cross multiply
    36,780.75x = 55,019.25 × 55,019.25
  4. Step 4: Simplify right side
    36,780.75x = 3,027,117,870.56
  5. Step 5: Solve for x
    x = 3,027,117,870.56/36,780.75
  6. Step 6: Final answer
    x = 82,301.69

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