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Finding the Third Proportional to 15,855.75 and 35,751.38

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Solution

The third proportional to 15,855.75 and 35,751.38 is: 80,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.75 : 35,751.38 = 35,751.38 : x
  2. Step 2: Convert to fraction form
    15,855.75/35,751.38 = 35,751.38/x
  3. Step 3: Cross multiply
    15,855.75x = 35,751.38 × 35,751.38
  4. Step 4: Simplify right side
    15,855.75x = 1,278,160,814.39
  5. Step 5: Solve for x
    x = 1,278,160,814.39/15,855.75
  6. Step 6: Final answer
    x = 80,611.82

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.