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Finding the Third Proportional to 40.94 and 89.35

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Solution

The third proportional to 40.94 and 89.35 is: 195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 89.35 = 89.35 : x
  2. Step 2: Convert to fraction form
    40.94/89.35 = 89.35/x
  3. Step 3: Cross multiply
    40.94x = 89.35 × 89.35
  4. Step 4: Simplify right side
    40.94x = 7,982.57
  5. Step 5: Solve for x
    x = 7,982.57/40.94
  6. Step 6: Final answer
    x = 195.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.