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Finding the Third Proportional to 41.44 and 89.63

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Solution

The third proportional to 41.44 and 89.63 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.44 : 89.63 = 89.63 : x
  2. Step 2: Convert to fraction form
    41.44/89.63 = 89.63/x
  3. Step 3: Cross multiply
    41.44x = 89.63 × 89.63
  4. Step 4: Simplify right side
    41.44x = 8,032.64
  5. Step 5: Solve for x
    x = 8,032.64/41.44
  6. Step 6: Final answer
    x = 193.85

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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.