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Finding the Third Proportional to 43.55 and 92.70

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Solution

The third proportional to 43.55 and 92.70 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.55 : 92.70 = 92.70 : x
  2. Step 2: Convert to fraction form
    43.55/92.70 = 92.70/x
  3. Step 3: Cross multiply
    43.55x = 92.70 × 92.70
  4. Step 4: Simplify right side
    43.55x = 8,592.42
  5. Step 5: Solve for x
    x = 8,592.42/43.55
  6. Step 6: Final answer
    x = 197.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.