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Finding the Third Proportional to 43.77 and 92.60

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Solution

The third proportional to 43.77 and 92.60 is: 195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.77 : 92.60 = 92.60 : x
  2. Step 2: Convert to fraction form
    43.77/92.60 = 92.60/x
  3. Step 3: Cross multiply
    43.77x = 92.60 × 92.60
  4. Step 4: Simplify right side
    43.77x = 8,575.05
  5. Step 5: Solve for x
    x = 8,575.05/43.77
  6. Step 6: Final answer
    x = 195.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.