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Finding the Third Proportional to 50 and 67.56

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Solution

The third proportional to 50 and 67.56 is: 91.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 67.56 = 67.56 : x
  2. Step 2: Convert to fraction form
    50/67.56 = 67.56/x
  3. Step 3: Cross multiply
    50x = 67.56 × 67.56
  4. Step 4: Simplify right side
    50x = 4,564.69
  5. Step 5: Solve for x
    x = 4,564.69/50
  6. Step 6: Final answer
    x = 91.29

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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.