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Finding the Third Proportional to 43.40 and 92.96

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Solution

The third proportional to 43.40 and 92.96 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.40 : 92.96 = 92.96 : x
  2. Step 2: Convert to fraction form
    43.40/92.96 = 92.96/x
  3. Step 3: Cross multiply
    43.40x = 92.96 × 92.96
  4. Step 4: Simplify right side
    43.40x = 8,641.10
  5. Step 5: Solve for x
    x = 8,641.10/43.40
  6. Step 6: Final answer
    x = 199.10

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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.