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Finding the Third Proportional to 43.50 and 92.91

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Solution

The third proportional to 43.50 and 92.91 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 92.91 = 92.91 : x
  2. Step 2: Convert to fraction form
    43.50/92.91 = 92.91/x
  3. Step 3: Cross multiply
    43.50x = 92.91 × 92.91
  4. Step 4: Simplify right side
    43.50x = 8,631.57
  5. Step 5: Solve for x
    x = 8,631.57/43.50
  6. Step 6: Final answer
    x = 198.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.