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Finding the Third Proportional to 41.94 and 56.47

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Solution

The third proportional to 41.94 and 56.47 is: 76.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.94 : 56.47 = 56.47 : x
  2. Step 2: Convert to fraction form
    41.94/56.47 = 56.47/x
  3. Step 3: Cross multiply
    41.94x = 56.47 × 56.47
  4. Step 4: Simplify right side
    41.94x = 3,188.72
  5. Step 5: Solve for x
    x = 3,188.72/41.94
  6. Step 6: Final answer
    x = 76.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.