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Finding the Third Proportional to 40.05 and 61.40

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Solution

The third proportional to 40.05 and 61.40 is: 94.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 61.40 = 61.40 : x
  2. Step 2: Convert to fraction form
    40.05/61.40 = 61.40/x
  3. Step 3: Cross multiply
    40.05x = 61.40 × 61.40
  4. Step 4: Simplify right side
    40.05x = 3,770.01
  5. Step 5: Solve for x
    x = 3,770.01/40.05
  6. Step 6: Final answer
    x = 94.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.