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Finding the Third Proportional to 40.13 and 89.25

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Solution

The third proportional to 40.13 and 89.25 is: 198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 89.25 = 89.25 : x
  2. Step 2: Convert to fraction form
    40.13/89.25 = 89.25/x
  3. Step 3: Cross multiply
    40.13x = 89.25 × 89.25
  4. Step 4: Simplify right side
    40.13x = 7,965.56
  5. Step 5: Solve for x
    x = 7,965.56/40.13
  6. Step 6: Final answer
    x = 198.52

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.