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Finding the Third Proportional to 42 and 46.75

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Solution

The third proportional to 42 and 46.75 is: 52.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 46.75 = 46.75 : x
  2. Step 2: Convert to fraction form
    42/46.75 = 46.75/x
  3. Step 3: Cross multiply
    42x = 46.75 × 46.75
  4. Step 4: Simplify right side
    42x = 2,185.56
  5. Step 5: Solve for x
    x = 2,185.56/42
  6. Step 6: Final answer
    x = 52.04

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.