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Finding the Third Proportional to 40.43 and 95.41

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Solution

The third proportional to 40.43 and 95.41 is: 225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.43 : 95.41 = 95.41 : x
  2. Step 2: Convert to fraction form
    40.43/95.41 = 95.41/x
  3. Step 3: Cross multiply
    40.43x = 95.41 × 95.41
  4. Step 4: Simplify right side
    40.43x = 9,103.84
  5. Step 5: Solve for x
    x = 9,103.84/40.43
  6. Step 6: Final answer
    x = 225.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.