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Finding the Third Proportional to 50.75 and 64.19

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Solution

The third proportional to 50.75 and 64.19 is: 81.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.75 : 64.19 = 64.19 : x
  2. Step 2: Convert to fraction form
    50.75/64.19 = 64.19/x
  3. Step 3: Cross multiply
    50.75x = 64.19 × 64.19
  4. Step 4: Simplify right side
    50.75x = 4,120.04
  5. Step 5: Solve for x
    x = 4,120.04/50.75
  6. Step 6: Final answer
    x = 81.18

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.