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Finding the Third Proportional to 40.92 and 51.05

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Solution

The third proportional to 40.92 and 51.05 is: 63.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 51.05 = 51.05 : x
  2. Step 2: Convert to fraction form
    40.92/51.05 = 51.05/x
  3. Step 3: Cross multiply
    40.92x = 51.05 × 51.05
  4. Step 4: Simplify right side
    40.92x = 2,605.78
  5. Step 5: Solve for x
    x = 2,605.78/40.92
  6. Step 6: Final answer
    x = 63.68

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.