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Finding the Third Proportional to 41.27 and 89.30

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Solution

The third proportional to 41.27 and 89.30 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.27 : 89.30 = 89.30 : x
  2. Step 2: Convert to fraction form
    41.27/89.30 = 89.30/x
  3. Step 3: Cross multiply
    41.27x = 89.30 × 89.30
  4. Step 4: Simplify right side
    41.27x = 7,973.93
  5. Step 5: Solve for x
    x = 7,973.93/41.27
  6. Step 6: Final answer
    x = 193.20

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