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Finding the Third Proportional to 41,197.50 and 55,962

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Solution

The third proportional to 41,197.50 and 55,962 is: 76,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,197.50 : 55,962 = 55,962 : x
  2. Step 2: Convert to fraction form
    41,197.50/55,962 = 55,962/x
  3. Step 3: Cross multiply
    41,197.50x = 55,962 × 55,962
  4. Step 4: Simplify right side
    41,197.50x = 3,131,745,444
  5. Step 5: Solve for x
    x = 3,131,745,444/41,197.50
  6. Step 6: Final answer
    x = 76,017.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.