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Finding the Third Proportional to 41.45 and 89.54

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Solution

The third proportional to 41.45 and 89.54 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 89.54 = 89.54 : x
  2. Step 2: Convert to fraction form
    41.45/89.54 = 89.54/x
  3. Step 3: Cross multiply
    41.45x = 89.54 × 89.54
  4. Step 4: Simplify right side
    41.45x = 8,017.94
  5. Step 5: Solve for x
    x = 8,017.94/41.45
  6. Step 6: Final answer
    x = 193.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.