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Finding the Third Proportional to 35,817.44 and 55,229.75

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Solution

The third proportional to 35,817.44 and 55,229.75 is: 85,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.44 : 55,229.75 = 55,229.75 : x
  2. Step 2: Convert to fraction form
    35,817.44/55,229.75 = 55,229.75/x
  3. Step 3: Cross multiply
    35,817.44x = 55,229.75 × 55,229.75
  4. Step 4: Simplify right side
    35,817.44x = 3,050,325,285.06
  5. Step 5: Solve for x
    x = 3,050,325,285.06/35,817.44
  6. Step 6: Final answer
    x = 85,163.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.