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Finding the Third Proportional to 45.94 and 65.34

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Solution

The third proportional to 45.94 and 65.34 is: 92.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.94 : 65.34 = 65.34 : x
  2. Step 2: Convert to fraction form
    45.94/65.34 = 65.34/x
  3. Step 3: Cross multiply
    45.94x = 65.34 × 65.34
  4. Step 4: Simplify right side
    45.94x = 4,269.81
  5. Step 5: Solve for x
    x = 4,269.81/45.94
  6. Step 6: Final answer
    x = 92.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.